#include using namespace std; const long long MOD=1e9+7; template class modint{ using u64=uint_fast64_t; public: u64 a; constexpr modint(const u64 x=0) noexcept:a(((x%Modulus)+Modulus)%Modulus){} constexpr u64 &value() noexcept{return a;} constexpr const u64 &value() const noexcept{return a;} constexpr modint &operator+=(const modint &rhs) noexcept{ a+=rhs.a; if (a>=Modulus) a-=Modulus; return *this; } constexpr modint operator+(const modint &rhs) const noexcept{ return modint(*this)+=rhs; } constexpr modint &operator++() noexcept{ return ++a,*this; } constexpr modint operator++(int) noexcept{ modint t=*this; return ++a,t; } constexpr modint &operator-=(const modint &rhs) noexcept{ if (a>=1; } return *this; } constexpr modint operator/(const modint &rhs) const noexcept{ return modint(*this)/=rhs; } constexpr modint operator-() const noexcept{ return modint(Modulus-a); } constexpr bool operator==(const modint &rhs) const noexcept{ return a==rhs.a; } constexpr bool operator!=(const modint &rhs) const noexcept{ return a!=rhs.a; } constexpr bool operator!() const noexcept{return !a;} friend constexpr modint pow(modint rhs,long long exp) noexcept{ modint res{1}; while(exp){ if (exp&1) res*=rhs; rhs*=rhs; exp>>=1; } return res; } template friend constexpr modint operator+(T x,modint y) noexcept{ return modint(x)+y; } template friend constexpr modint operator-(T x,modint y) noexcept{ return modint(x)-y; } template friend constexpr modint operator*(T x,modint y) noexcept{ return modint(x)*y; } template friend constexpr modint operator/(T x,modint y) noexcept{ return modint(x)/y; } friend ostream &operator<<(ostream &s,const modint &rhs) noexcept { return s << rhs.a; } friend istream &operator>>(istream &s,modint &rhs) noexcept { u64 a; rhs=modint{(s >> a,a)}; return s; } }; using mint=modint; template M Lagrange_Interpolation(vector y,long long T){ int n=y.size()-1; if (T<=n) return y[T]; vector dp(n+1,1),pd(n+1,1),fac(n+1,1),finv(n+1,1); for (int i=0;i0;--i) pd[i-1]=pd[i]*(T-i); for (int i=1;i0;--i) finv[i-1]=finv[i]*i; M res=0; for (int i=0;i<=n;++i){ M x=y[i]*dp[i]*pd[i]*finv[i]*finv[n-i]; if ((n-i)&1) res-=x; else res+=x; } return res; } int main(){ cin.tie(0); ios::sync_with_stdio(false); long long n,k; cin >> n >> k; vector A(k+2,0); for (int i=1;i