#include #pragma GCC optimize("Ofast") using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; ll ILL=2167167167167167167; const int INF=2100000000; const int mod=998244353; #define rep(i,a,b) for (ll i=a;i using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,const T &b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";} template void vec_out(vector &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;} namespace po167{ struct UFtree { using _F=int; int _n; std::vector<_F> wei; std::vector q; int component; UFtree(int n):_n(n),wei(n),component(n),par(n){ for(int i=0;i par; }; } using po167::UFtree; namespace po167{ struct combination{ int upper; long long MOD; std::vector fact; std::vector rev; std::vector fact_rev; combination(int max,long long mod):upper(max),MOD(mod),fact(max+1),rev(max+1),fact_rev(max+1){ for(long long i=0;i<=max;i++){ if(i<2){ fact[i]=1; fact_rev[i]=1; rev[i]=1; continue; } fact[i]=(fact[i-1]*i)%mod; rev[i]=mod-((mod/i)*rev[mod%i])%mod; fact_rev[i]=(fact_rev[i-1]*rev[i])%mod; } } long long Comb(int x,int y){ assert(upper>=x); if (x=x); if (x>t; rep(i,0,t) solve(); } void solve(){ ll N,Q; cin>>N>>Q; combination table(N+10,mod); ll v=1; if(N&1) N++,v=table.rev[(N+1)/2]; vector L(Q+1),R(Q+1); R[Q]=N; rep(i,0,Q){ cin>>L[i]>>R[i]; L[i]--; if((R[i]-L[i])&1) v=0; } UFtree T(Q+1); rep(i,0,Q+1) rep(j,0,Q+1){ if(L[i]> s(Q+1); rep(i,0,Q+1){ s[T.root(i)].insert(L[i]); s[T.root(i)].insert(R[i]); } auto C=[&](int a)->ll{ if(a&1) return 0; return (table.Comb(a,a/2)*table.rev[a/2+1])%mod; }; vector p(Q+1); stack st; ll ans=1; rep(i,0,N+1){ rep(j,0,Q+1){ if(s[j].count(i)){ if(i==(*s[j].begin())) st.push(j); else{ ans=(ans*C(p[j]))%mod; p[j]=0; } if(i==(*s[j].rbegin())) st.pop(); } } if(i!=N) p[st.top()]++; } ans=(ans*table.fact[N/2])%mod; ans=(ans*table.fact[N/2])%mod; ans=(ans*v)%mod; cout<