#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } const ll MOD = 998244353; using mint = atcoder::modint998244353; ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } #define N_MAX 400002 mint inv[N_MAX],fac[N_MAX],finv[N_MAX]; void init(){ fac[0]=1;fac[1]=1; finv[0]=1;finv[1]=1; inv[1]=1; for(int i=2;i distinct(vector v){ set st; for(int x: v) st.insert(x); vector ans; for(int x: st) ans.push_back(x); return ans; } mint catalan(int n){ return fac[2*n]*finv[n+1]*finv[n]; } using P = pair; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; init(); int n, q; cin >> n >> q; vector v(n); for(int i = 0; i < q; i++){ int l, r; cin >> l >> r; l--; r--; for(int x = l; x <= r; x++){ v[x] += 1l< cnt; for(int i = 0; i < n; i++){ if(cnt.count(v[i])) cnt[v[i]]++; else cnt[v[i]] = 1; } int odd = (n+1)/2, even = n/2; mint ans = fac[odd]*fac[even]; for(auto [x, c]: cnt){ if(x == 0){ if(c%2 == 0){ ans *= catalan(c/2); }else{ ans *= comb(n, even)-comb(n, even-1); } }else{ if(c%2 == 1){ cout << 0 << endl; return 0; } ans *= catalan(c/2); } } cout << ans << endl; }