#include #include #include using namespace atcoder; using mint = modint1000000007; using namespace std; #define rep(i,n) for(int i=0;i<(n);i++) #define Inf 1000000001 struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; int main(){ combi C(1000000); int N,K; cin>>N>>K; K--; mint ans = 0; mint cur = C.kaijou_[N]; deque D; rep(i,N){ cur *= N+K - i; D.push_back(N+K-i); } rep(i,N){ // cout< D.back().val() && D.back()!=0)ans += t*cur; if(D.front()!=0){ cur /= D.front(); } D.push_back(D.back()-1); if(D.back()!=0)cur *= D.back(); D.pop_front(); } cout<