#include using namespace atcoder; #include #define all(a) (a.begin()),(a.end()) #define rall(a) (a.rbegin()),(a.rend()) using namespace std; using ll=long long; using ld=long double; using pll=pair; templatebool chmax(T &a, const T &b) {if(abool chmin(T &a, const T &b) {if(b> (istream& is, modint1000000007& x) { unsigned int t; is >> t; x=t; return is; } istream& operator >> (istream& is, modint998244353& x) { unsigned int t; is >> t; x=t; return is; } istream& operator >> (istream& is, modint& x) { unsigned int t; is >> t; x=t; return is; } ostream& operator << (ostream& os, const modint1000000007& x) { os << x.val(); return os; } ostream& operator << (ostream& os, const modint998244353& x) { os << x.val(); return os; } ostream& operator << (ostream& os, const modint& x) { os << x.val(); return os; } templateistream& operator >> (istream& is, pair& p) { is >> p.first >> p.second; return is; } templateostream& operator << (ostream& os, const pair& p) { os << p.first << " " << p.second; return os;} templateistream& operator >> (istream& is, vector& v) { for(T& x:v) is >> x; return is; } templateostream& operator << (ostream& os, const vector& v) {for(int i=0;i<(int)v.size();i++) {os << v[i] << (i+1 == v.size() ? "":" ");} return os;} template void pt() { std::cout << "\n"; } template void pt_rest() { std::cout << "\n"; } template void pt_rest(const T& first, const A&... rest) { std::cout << " " << first; pt_rest(rest...); } template void pt(const T& first, const A&... rest) { std::cout << first; pt_rest(rest...); } template void resize(vector& vec, const H head){ vec.resize(head); } template void resize(vector& vec, const H& head, const T ... tail){ vec.resize(head); for(auto& v: vec) resize(v, tail...); } template void fill(V& x, const T& val){ x = val; } template void fill(vector& vec, const T& val){ for(auto& v: vec) fill(v, val); } template void vin(istream& is, const int idx, vector& head){ is >> head[idx]; } template void vin(istream& is, const int idx, vector& head, T& ... tail){ vin(is >> head[idx], idx, tail...); } template void vin(istream& is, vector& head, T& ... tail){ for(int i=0; i<(int)head.size(); i++) vin(is, i, head, tail...); } template void vin(vector& head, T& ... tail){ vin(cin, head, tail...); } mapdivisor(ll n){mapres;for(ll i=1;i*i<=n;i++)if(n%i==0){res[i]++;res[n/i]++;}return res;} mapfactrization(ll n){mapres;for(ll i=2;i*i<=n;i++)while(n%i==0){res[i]++;n/=i;}if(n>1)res[n]++;return res;} static const ll inf=1e18+7; static const ld pi=acos(-1); static const ld eps=1e-10; using v1=vector; using v2=vector; using v3=vector; using v4=vector; using S=ll; S op(S a,S b){return a+b;} S e(){return 0;} templatestruct Combination{ vectorfa,rfa,bs; vector>>mp; ll LIM=5000; Combination(ll n){ fa.resize(n+1); rfa.resize(n+1); fa[0]=rfa[0]=1; for(ll i=1;i<=n;i++)fa[i]=fa[i-1]*i; for(ll i=1;i<=n;i++)rfa[i]=rfa[i-1]/i; bs.resize(n+1); bs[0]=1; for(ll i=1;i<=n;i++)bs[i]=bs[i-1]+T(-1).pow(i&1)*rfa[i]; if(n<=LIM)mp.resize(n+1,vector>(n+1)); } T C(ll n,ll k){return n=0)return (mp[n][k]={true,p(n,k-1)+p(n-k,k)}).second; return (mp[n][k]={true,p(n,k-1)}).second; } }; int main(void) { cin.tie(nullptr); ios::sync_with_stdio(false); ll N,K;cin>>N>>K; using mint=modint1000000007; Combinationcom(N); mapmem; functionf=[&](ll x)->mint{ if(x==0 or x==K-N)return mem[x]=1; return mem[x]=x*f(x-1); }; f(K+N-1); mint ans=0; for(ll i=0;i