#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } // combination mod prime // https://www.youtube.com/watch?v=8uowVvQ_-Mo&feature=youtu.be&t=1619 struct combination { vector fact, ifact; combination(int n) :fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { return com(n, k); } mint com(int n, int k) { //負の二項係数を考慮する場合にコメントアウトを外す //if (n < 0) return com(-n, k) * (k % 2 ? -1 : 1); if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } mint comsub(long long n, long long k) { if (n - k < k) k = n - k; assert(k < fact.size()); mint val = ifact[k]; rep(i, k) val *= n - i; return val; } mint inv(int n, int k) { //if (n < 0) return inv(-n, k) * (k % 2 ? -1 : 1); if (k < 0 || k > n) return 0; return ifact[n] * fact[k] * fact[n - k]; } mint p(int n, int k) { return fact[n] * ifact[n - k]; } }c(2000006); long long op(long long a, long long b) { return a + b; } long long e() { return 0; } long long calc(vectorv) { auto tmp = v; sort(all(tmp)); tmp.erase(unique(all(tmp)), tmp.end()); rep(i, v.size()) v[i] = lower_bound(all(tmp), v[i]) - tmp.begin(); long long ret = 0; segtreeseg(tmp.size()); rep(i, v.size()) { ret += seg.prod(v[i] + 1, tmp.size()); seg.set(v[i], seg.get(v[i]) + 1); } return ret; } bool comp(const P& lh, const P& rh) { return lh.second < rh.second; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; mint ans = 0; vector

vp(m); rep(i, m) { cin >> vp[i].first >> vp[i].second; vp[i].first--, vp[i].second--; } sort(all(vp), comp); vectorv; rep(i, vp.size()) v.push_back(vp[i].first); // 固定同士 { auto tmp = calc(v); ans += (mint)tmp * c.fact[n - m]; } // そうじゃないやつ同士 if (n - m >= 2) { ans += c(n - m, 2)*c(n - m, 2) *c.fact[n - m - 2]; } // 固定とそうじゃないやつ if (n != m) { sort(all(v)); rep(i, vp.size()) { int cntUp = (n - vp[i].first) - (v.end() - lower_bound(all(v), vp[i].first)); int cntDown = vp[i].first - (lower_bound(all(v), vp[i].first) - v.begin()); ans += c.fact[n - m - 1] * cntUp *(vp[i].second - i); ans += c.fact[n - m - 1] * cntDown *((n - m) - (vp[i].second - i)); } } cout << ans.val() << endl; return 0; }