#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e){ cerr << e << endl; } template void debug(vector &v){ rep(i, v.size()){ cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v){ rep(i, v.size()){ rep(j, v[i].size()){ cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v){ rep(i,v.size()){ cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st){ for (auto itr = st.begin(); itr != st.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms){ for (auto itr = ms.begin(); itr != ms.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(map &mp){ for (auto itr = mp.begin(); itr != mp.end(); itr++){ cerr << itr->first << " " << itr->second << endl; } } void debug_out(){ cerr << endl; } template void debug_out(Head H, Tail... T){ cerr << H << " "; debug_out(T...); } ll my_pow(ll x, ll n, ll mod){ // 繰り返し二乗法.x^nをmodで割った余り. ll ret; if (n == 0){ ret = 1; } else if (n % 2 == 1){ ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod; } else{ ret = my_pow((x * x) % mod, n / 2, mod); } return ret; } ll inv(ll x, ll mod){ return my_pow(x, mod - 2, mod); } ll op(ll a, ll b){ return a + b; } ll e(){ return 0LL; } int main(){ ll N, M; cin >> N >> M; vl P(M); vl K(M); rep(i,M){ cin >> P[i] >> K[i]; P[i]--; K[i]--; } vl fact(N + 3); fact[0] = 1; for (ll i = 0; i < N + 2; i++){ fact[i + 1] = (fact[i] * (i + 1)) % mod2; } vpll p(M); rep(i,M){ p[i].first = K[i]; p[i].second = P[i]; } sort(all(p)); vl val(N, -1); for (ll i = 0; i < M; i++){ val[K[i]] = P[i]; } //debug(val); ll ans1 = 0; // 決まっている場所同士 segtree seg(N); for (ll i = 0; i < N; i++){ if (val[i] != -1){ ans1 += seg.prod(val[i], N); seg.set(val[i], 1); } } ans1 = ans1 % mod2; ans1 = (ans1 * fact[N - M]) % mod2; ll ans2 = ((N - M) * (N - M - 1) / 2) % mod2; // 決まっていない場所同士 ans2 = (ans2 * fact[N - M]) % mod2; ans2 = (ans2 * inv(2LL, mod2)) % mod2; segtree seg2(N); ll ans3 = 0; // 決まっている場所と決まっていない場所相互 ll cnts = 0; for (ll i = 0; i < M; i++){ seg2.set(P[i], 1); } for (ll i = 0; i < N; i++){ if (val[i] != -1){ ll prd = seg2.prod(val[i] + 1, N); ll num = N - val[i] - 1 - prd; ll prd2 = seg2.prod(0, val[i]); ll num2 = val[i] - prd2; //debug_out(num, cnts); ans3 = (ans3 + (((num * cnts) % mod2) * fact[N - M - 1]) % mod2) % mod2; ans3 = (ans3 + (((num2 * (N - M - cnts)) % mod2) * fact[N - M - 1]) % mod2) % mod2; } else{ cnts++; } } //debug_out(ans1, ans2, ans3); cout << (ans1 + ans2 + ans3) % mod2 << endl; }