#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; mint cat[4<<17]; int N,M; vectorsolve(vectorC,int sum) { if(C.empty())return vector(1,mint::raw(1)); else if(C.size()==1) { vectorret(sum+1); ret[0]=mint::raw(1); ret[sum]=mint(-cat[sum]); return ret; } vectorL,R; int Lsum=0,Rsum=0; for(int c:C) { if(Lsum<=Rsum)Lsum+=c,L.push_back(c); else Rsum+=c,R.push_back(c); } return atcoder::convolution(solve(L,Lsum),solve(R,Rsum)); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cin>>N>>M; for(int i=0;i<2<<17;i++)cat[i*2]=C.factorial(2*i)*C.invfac(i+1)*C.invfac(i); vectorlen(M); int sum=0; for(int i=0;i>l>>r; sum+=len[i]=r-l+1; } vectorF=solve(len,sum); mint ans=0; for(int i=0;i<=sum;i++) { ans+=F[i]*cat[N-i]; } cout<