#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define popcount __builtin_popcount using namespace std; typedef long long ll; typedef pair P; template struct ModInt{ int x; ModInt(): x(0){} ModInt(ll y): x(y>=0 ? y%MOD : (MOD-(-y)%MOD)%MOD){} ModInt &operator+=(const ModInt &p){ if((x+=p.x)>=MOD) x-=MOD; return *this; } ModInt &operator-=(const ModInt &p){ if((x+=MOD-p.x)>=MOD) x-=MOD; return *this; } ModInt &operator*=(const ModInt &p){ x=(int)(1ll*x*p.x%MOD); return *this; } ModInt &operator/=(const ModInt &p){ *this*=p.inv(); return *this; } ModInt operator-() const{ return ModInt(-x);} ModInt operator+(const ModInt &p) const{ return ModInt(*this)+=p;} ModInt operator-(const ModInt &p) const{ return ModInt(*this)-=p;} ModInt operator*(const ModInt &p) const{ return ModInt(*this)*=p;} ModInt operator/(const ModInt &p) const{ return ModInt(*this)/=p;} bool operator==(const ModInt &p) const{ return x==p.x;} bool operator!=(const ModInt &p) const{ return x!=p.x;} ModInt pow(ll n) const{ ModInt ret(1), p(x); while(n){ if(n&1) ret*=p; p*=p; n>>=1; } return ret; } ModInt inv() const{ return pow(MOD-2); } }; const int MOD=1e9+7; using mint=ModInt; template struct Matrix{ vector> a; Matrix(){} Matrix(size_t n, size_t m):a(n, vector(m, 0)){} Matrix(size_t n):Matrix(n, n){} Matrix(vector> a):a(a){} size_t height() const{ return a.size(); } size_t width() const{ return a[0].size(); } inline const vector &operator[](size_t k) const{ return a[k]; } inline vector &operator[](size_t k){ return a[k]; } static Matrix I(size_t n){ Matrix mat(n); for(int i=0; i> c(n, vector(l, 0)); for(int i=0; i>=1; } return ret; } static pair Gauss_Jordan(const Matrix &a, const Matrix &b){ size_t n=a.height(), m=a.width(), l=b.width(); Matrix c(n, m+l); for(int i=0; i, vector>> linear_equations(const Matrix &a, const vector &b){ int n=a.height(), m=a.width(); Matrix B(n, 1); for(int i=0; i myon(n,-1); vector nuo(m, -1); for(int i=0; i retc; vector> retd; return make_pair(retc, retd); } } vector c(m); vector> d; for(int i=0; i v(m); v[i]=1; for(int j=0; j; vector> w; void gen_bunkatu(vector v, int t, int s){ if(t==s){ vector vs=v; reverse(vs.begin(), vs.end()); w.push_back(vs); return; } int m=s; if(t) m=v.back(); for(int i=1; i<=min(m, s-t); i++){ v.push_back(i); gen_bunkatu(v, t+i, s); v.pop_back(); } } int main() { int x; cin>>x; vector v0; gen_bunkatu(v0, 0, x); int n=w.size(); mat a(n); vector b(n); for(int i=0; i v; int t=0; for(int j=0; j c=mat::linear_equations(a, b).first; mint f(1); for(int i=1; i<=x; i++) f*=mint(i); mint ans(1); for(auto z:c) ans*=z*f; cout<