#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef unsigned long long int ulint; typedef long long int llint; typedef long double lldo; #define mp make_pair #define mt make_tuple #define pub push_back #define puf push_front #define pob pop_back #define pof pop_front #define fir first #define sec second #define res resize #define ins insert #define era erase #define RE return 0 //ios::sync_with_stdio(false); //std::cin.tie(0); //<< setprecision(20) const int mod=(int)1000000007; const llint big=(llint)(2.19e16)+1; const long double pai=3.141592653589793238462643383279502884197; const long double ena=2.71828182845904523536; const long double eps=1e-7; template bool mineq(T& a,U b){if(a>b){a=b;return true;}return false;} template bool maxeq(T& a,U b){if(a void soun(T& ar) {sort(ar.begin(),ar.end());ar.erase(unique(ar.begin(),ar.end()),ar.end());} llint gcd(llint a,llint b){if(a%b==0){return b;}else{return gcd(b,a%b);}} llint lcm(llint a,llint b){return a/gcd(a,b) *b;} template auto LB(T& ve,U in){return lower_bound(ve.begin(),ve.end(),in);} template auto UB(T& ve,U in){return upper_bound(ve.begin(),ve.end(),in);} template auto LBI(T& ve,U in){return LB(ve,in)-ve.begin();} template auto UBI(T& ve,U in){return UB(ve,in)-ve.begin();} template void SO(T& ve){sort(ve.begin(),ve.end());} template void REV(T& ve){reverse(ve.begin(),ve.end());} using pli=pair; using daic=priority_queue,greater>; template class mint_base { public: static constexpr auto MOD = MOD_; static_assert(!(MOD <= 2), "MOD cannot be below 2."); static_assert(MOD <= (0xFFFFFFFFFFFFFFFF / 2), "MOD is too big");//加算してオーバーフローしない static_assert(MOD <= 0xFFFFFFFF, "MOD is too big");//乗算してオーバーフローしない constexpr mint_base operator+(const mint_base &other)const noexcept {auto v = *this;return v += other;} constexpr mint_base operator-(const mint_base &other)const noexcept {auto v = *this;return v -= other;} constexpr mint_base operator*(const mint_base &other)const noexcept {auto v = *this;return v *= other;} constexpr mint_base& operator+=(const mint_base &other) noexcept {a += other.a;if (MOD <= a) { a -= MOD; };return *this;} constexpr mint_base& operator-=(const mint_base &other) noexcept {if (a >= other.a) {a -= other.a;}else {a = (a + MOD) - other.a;}return *this;} constexpr mint_base& operator*=(const mint_base &other) noexcept {a *= other.a;a %= MOD;return *this;} constexpr mint_base operator+()const noexcept { return *this; } constexpr mint_base operator-()const noexcept {return{ MOD - a, mod_value_tag{} };} constexpr mint_base& operator++() noexcept {if (MOD <= ++a) { a = 0; };return *this;} constexpr mint_base& operator--() noexcept {if (a <= 0) { a = MOD; };--a;return *this;} constexpr mint_base operator++(int) noexcept {auto tmp = *this;++*this;return tmp;} constexpr mint_base operator--(int) noexcept {auto tmp = *this;--*this;return tmp;} constexpr mint_base& operator=(const mint_base &other) noexcept {a = other.a;return *this;} constexpr operator uint64_t()const noexcept {return a;} constexpr explicit operator unsigned()const noexcept {return (unsigned)a;} static constexpr uint64_t getmod() noexcept {return MOD;} constexpr mint_base(uint64_t a_) noexcept :a(a_ % MOD) {} constexpr mint_base()noexcept : a(0) {} struct mod_value_tag {}; constexpr mint_base(uint64_t a_, mod_value_tag) :a(a_) {} private: uint64_t a; }; //mint_base型のstreamへの出力 template std::ostream& operator<<(std::ostream& os, mint_base i) {os << (uint64_t)i;return os;} //mint_base型のstreamからの入力 template std::istream& operator >> (std::istream& is, mint_base& i) {uint64_t tmp;is >> tmp;i = tmp;return is;} int main(void){ static mint_base<> niko[10010][10010]; niko[0][0]=1; mint_base<> n; llint k,i,j,h;cin>>n>>k; for(i=0;ibel[10010]; bel[0]=1; for(i=1;i<=k;i++){ for(j=0;j bgen=i+1,g=1; for(h=0;h<30;h++){ if((mod-2)&(1<(6)< rui[10010];rui[0]=1; n+=1; for(i=1;i<=10005;i++){rui[i]=rui[i-1]*n;} mint_base<> ans=0; for(i=0;i<=k;i++){ ans+=niko[k+1][i]*bel[i]*rui[k+1-i]; } mint_base<> bgen=k+1,g=1; for(h=0;h<30;h++){ if((mod-2)&(1<