#include #include #include #include #include using namespace std; using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; #define rep(i,n) for(int i=0; i<(int)(n); i++) const i64 INF = 1001001001001001001; using Modint = atcoder::static_modint<998244353>; int main(){ int N; cin >> N; vector>> Dx; rep(i,N){ int b, c; cin >> b >> c; Modint p = Modint(c - b + 1).inv(); Dx.push_back({ b, make_pair(false, p) }); Dx.push_back({ c+1, make_pair(true, p) }); } sort(Dx.begin(), Dx.end(), [](pair> a, pair> b){ return a.first < b.first; }); int pos = 0; Modint p1 = 0; Modint p2 = 0; Modint p2int = 0; for(auto [t, dx] : Dx){ p2int += p2 * (t - pos); pos = t; if(dx.first){ p1 -= dx.second; p2 -= dx.second * p1; } else{ p2 += dx.second * p1; p1 += dx.second; } } Modint f = 1; for(int i=1; i<=N; i++) f *= i; Modint ans = (Modint(N) * Modint(N-1) / 4 - p2int / 2) * f; cout << ans.val() << endl; return 0; } struct ios_do_not_sync{ ios_do_not_sync(){ ios::sync_with_stdio(false); cin.tie(nullptr); } } ios_do_not_sync_instance;