using namespace std; #if !defined(INCLUDED_MAIN) #define INCLUDED_MAIN #include __FILE__ void solve() { ll n,m; cin >> n >> m; mll::MOD = m; vvvmll dp_(2*n,vvmll(n+1,vmll(n*n+1))); auto dp = [&](ll i,ll z,ll t)->mll&{ static mll dmy=0; if (z>n or t>n*n)return dmy; return dp_[i][z][t]; }; dp(0,1,0)=1; rep(i,0,2*n-2){ ll lwz=CEIL(i+1,2),mxz=min(n,i+1); rep(z,lwz,mxz){ rep(t,0,lwz*lwz){ ll o=i+1-z; dp(i+1,z+1,t+o)+=dp(i,z,t); dp(i+1,z,t)+=dp(i,z,t); } } } rep(t,0,n*n){ cout << dp(2*n-1,n,t) << '\n'; } return; } int main(){ #if 1 solve(); #else ll t; cin >> t; rep(i, 0, t-1){ solve(); } #endif return 0; } #else //INCLUDED_MAIN #include "bits/stdc++.h" #if __has_include() #include using namespace atcoder; #endif using ll=long long; using dd=double; using vll=vector< ll>; using vdd=vector< dd>; using vvll=vector< vll>; using vvdd=vector; using vvvll=vector< vvll>; using vvvdd=vector; using vvvvll=vector; using pll=pair; using tll=tuple; using qll=tuple; using vpll=vector< pll>; using vtll=vector< tll>; using vqll=vector< qll>; using vvpll=vector; using vvtll=vector; using vvqll=vector; constexpr ll INF = 1LL << 60; struct Fast{ Fast(){ cin.tie(0); ios::sync_with_stdio(false); cout<::max_digits10); } } fast; #define REPS(i, S, E) for (ll i = (S); i <= (E); i++) #define REP(i, N) REPS(i, 0, (N)-1) #define DEPS(i, S, E) for (ll i = (E); i >= (S); i--) #define DEP(i, N) DEPS(i, 0, (N)-1) #define EXPAND( x ) x//VS用おまじない #define overload3(_1,_2,_3,name,...) name #define overload4(_1,_2,_3,_4,name,...) name #define overload5(_1,_2,_3,_4,_5,name,...) name #define rep3(i, S, E) for (ll i = (S); i <= (E); i++) #define rep4(i, S, E, t) for (ll i = (S); i <= (E); i+=(t)) #define rep(...) EXPAND(overload4(__VA_ARGS__,rep4,rep3,_,_)(__VA_ARGS__)) #define dep3(i, E, S) for (ll i = (E); i >= (S); i--) #define dep4(i, E, S, t) for (ll i = (E); i >= (S); i-=(t)) #define dep(...) EXPAND(overload4(__VA_ARGS__, dep4, dep3,_,_)(__VA_ARGS__)) #define each2(e,v) for (auto && e:v) #define each3(a,b,v) for (auto &&[a,b]:v) #define each4(a,b,c,v) for (auto &&[a,b,c]:v) #define each5(a,b,c,d,v) for (auto &&[a,b,c,d]:v) #define each(...) EXPAND(overload5(__VA_ARGS__,each5,each4,each3,each2,_)(__VA_ARGS__)) #define ALL1(v) (v).begin(), (v).end() #define ALL2(v,E) (v).begin(), (v).begin()+((E)+1) #define ALL3(v,S,E) (v).begin()+(S), (v).begin()+((E)+1) #define ALL(...) EXPAND(overload3(__VA_ARGS__, ALL3, ALL2, ALL1)(__VA_ARGS__)) #define all ALL #define RALL1(v) (v).rbegin(), (v).rend() #define RALL2(v,E) (v).rbegin(), (v).rbegin()+((E)+1) #define RALL3(v,S,E) (v).rbegin()+(S), (v).rbegin()+((E)+1) #define RALL(...) EXPAND(overload3(__VA_ARGS__, RALL3, RALL2, RALL1)(__VA_ARGS__)) #define rall RALL template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; }return false; } template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; }return false; } template inline T MaxE(vector&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmax(m,v[i]); return m; } template inline T MinE(vector&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmin(m,v[i]); return m; } template inline T MaxE(vector &v) { return MaxE(v,0,(ll)v.size()-1); } template inline T MinE(vector &v) { return MinE(v,0,(ll)v.size()-1); } template inline auto maxe(T &&v,ll S,ll E){ return *max_element(ALL(v,S,E)); } template inline auto maxe(T &&v){ return *max_element(ALL(v)); } template inline auto mine(T &&v,ll S,ll E){ return *min_element(ALL(v,S,E)); } template inline auto mine(T &&v){ return *min_element(ALL(v)); } template inline T Sum(vector &v,ll S,ll E){ T s=T(); rep(i,S,E)s+=v[i]; return s; } template inline T Sum(vector &v) { return Sum(v,0,v.size()-1); } template::type::value_type> inline U sum(T &&v,ll S,ll E) {return accumulate(all(v,S,E),U());} template inline auto sum(T &&v) {return sum(v,0,v.end()-v.begin()-1);} template inline ll sz(T &v){ return (ll)v.size(); } inline ll CEIL(ll a,ll b){ return (a<0) ? -(-a/b) : (a+b-1)/b; } //負もOK inline ll FLOOR(ll a,ll b){ return -CEIL(-a,b); } //負もOK struct mll{ static ll MOD; ll val; mll(ll v = 0): val(v % MOD){ if (val < 0) val += MOD; } mll operator - () const { return -val; } mll operator + (const mll &b) const { return val + b.val; } mll operator - (const mll &b) const { return val - b.val; } mll operator * (const mll &b) const { return val * b.val; } mll operator / (const mll &b) const { return mll(*this) /= b; } mll operator + (ll b) const { return *this + mll(b); } mll operator - (ll b) const { return *this - mll(b); } mll operator * (ll b) const { return *this * mll(b); } friend mll operator + (ll a,const mll &b) { return b + a; } friend mll operator - (ll a,const mll &b) { return -b + a; } friend mll operator * (ll a,const mll &b) { return b * a; } friend mll operator / (ll a,const mll &b) { return mll(a)/b; } mll &operator += (const mll &b) { val=(val+b.val)%MOD; return *this; } mll &operator -= (const mll &b) { val=(val+MOD-b.val)%MOD; return *this; } mll &operator *= (const mll &b) { val=(val*b.val)%MOD; return *this; } mll &operator /= (const mll &b) { ll c=b.val,d=MOD,u=1,v=0; while (d){ ll t = c / d; c -= t * d; swap(c,d); u -= t * v; swap(u,v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } mll &operator += (ll b) { return *this += mll(b); } mll &operator -= (ll b) { return *this -= mll(b); } mll &operator *= (ll b) { return *this *= mll(b); } mll &operator /= (ll b) { return *this /= mll(b); } bool operator == (const mll &b) const { return val == b.val; } bool operator != (const mll &b) const { return val != b.val; } bool operator == (ll b) const { return *this == mll(b); } bool operator != (ll b) const { return *this != mll(b); } friend bool operator == (ll a,const mll &b) { return mll(a) == b.val; } friend bool operator != (ll a,const mll &b) { return mll(a) != b.val; } friend ostream &operator << (ostream &os,const mll &a) { return os << a.val; } friend istream &operator >> (istream &is,mll &a) { return is >> a.val; } static mll Combination(ll a,ll b){ chmin(b,a-b); if (b<0) return mll(0); mll c = 1; rep(i,0,b-1) c *= a-i; rep(i,0,b-1) c /= i+1; return c; } }; ll mll::MOD = 1000000007LL;// 998244353LL;//1000000007LL; using vmll = std::vector; using vvmll = std::vector; using vvvmll = std::vector; using vvvvmll = std::vector; using vvvvvmll = std::vector; #endif //INCLUDED_MAIN