#include #include #include #include #include using namespace std; #include template struct combination{ vectorfac,ifac; combination(size_t N=0):fac(1,1),ifac(1,1) { make_table(N); } void make_table(size_t N) { if(fac.size()>N)return; size_t now=fac.size(); N=max(N,now*2); fac.resize(N+1); ifac.resize(N+1); for(size_t i=now;i<=N;i++)fac[i]=fac[i-1]*i; ifac[N]=1/fac[N]; for(size_t i=N;i-->now;)ifac[i]=ifac[i+1]*(i+1); } T factorial(size_t n) { make_table(n); return fac[n]; } T invfac(size_t n) { make_table(n); return ifac[n]; } T P(size_t n,size_t k) { if(nC; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int N; cin>>N; queue >Q; for(int i=0;i>a; vectorA={1,a}; Q.push(A); } while(Q.size()>=2) { vectora=move(Q.front());Q.pop(); vectorb=move(Q.front());Q.pop(); vectort=atcoder::convolution(move(a),move(b)); Q.push(move(t)); } vectorA=Q.front(); assert(A.size()==N+1); mint ans=0; for(int i=1;i<=N;i++) { ans+=A[i]*mint(i).pow(N-i); } cout<