#include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template int LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template int UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(b bool chmax(T &a,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;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';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){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template T square(T a){return a * a;} random_device seed_gen; mt19937 rng(seed_gen()); // return [l, r) long long rand_long(long long l,long long r){ return uniform_int_distribution(l,r-1)(rng); } #include using mint = atcoder::modint998244353; void solve(); // POP'N ROLL MUSIC / TOMOO int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; // cin >> t; rep(i, 0, t) solve(); } void solve(){ ll N, M; cin >> N >> M; vector> p; rep(i, 0, M){ ll l, r; cin >> l >> r; ll h = rand_long(0, 1ll << 60); p.push_back({l - 1, h}); p.push_back({r, h}); } So(p); ll X = 0; vector A; vector> q; mint OK = 0; ll tmp = 0; for (auto [a, del] : p){ if (tmp){ q.push_back({tmp, a - X}); } else{ OK += a - X; } X = a; tmp ^= del; } OK += N - X; { sort(all(q), [&](auto l, auto r){ return l.first < r.first; }); for (int l = 0, r = 0; l < (int)q.size(); l = r){ mint s = 0; while (r != (int)q.size() && q[l].first == q[r].first){ s += q[r].second; r++; } A.push_back(s); } } mint ans = 0; ans += (mint(N)) * (mint(N - 1)); ans += OK * 4; for (auto a : A){ ans += a * OK * 2; ans += a * (a - 1); ans += a * 2; } ans += OK * (OK - 1) * 3; ans *= (mint(2)).pow(M); ans /= 4; cout << ans.val() << "\n"; }