#if __INCLUDE_LEVEL__ == 0 #include using namespace std; #undef assert #define assert(expr) (expr) || (__builtin_unreachable(), 0) #include __BASE_FILE__ #define ALL(f, r, ...) \ [&](auto&& _) { return f(begin(_), end(_), ##__VA_ARGS__); }(r) namespace std::ranges::views { namespace { using Fp = atcoder::modint998244353; void solve() { int n; cin >> n; vector b(n), c(n); for (int i : iota(0, n)) { cin >> tie(b[i], c[i]); ++c[i]; } auto U = b; U.insert(U.end(), c.begin(), c.end()); sort(U); ALL(U.erase, unique(U)); auto rank = [&](int x) { return lower_bound(U, x) - U.begin(); }; vector f(U.size()); vector f2(U.size()); for (int i : iota(0, n)) { int l = rank(b[i]); int r = rank(c[i]); Fp t = 1 / Fp(c[i] - b[i]); f[l] += t; f[r] -= t; f2[l] += t * t; f2[r] -= t * t; } ALL(partial_sum, f, f.begin()); ALL(partial_sum, f2, f2.begin()); Fp ans = 0; for (int i : iota(1, ssize(U))) { Fp w = U[i] - U[i - 1]; Fp cur = (f[i - 1] * f[i - 1] - f2[i - 1]) / 2; ans += cur * w; } ans = n * Fp(n - 1) / 2 - ans; for (int i : iota(0, n)) { ans *= i + 1; } ans /= 2; cout << ans << '\n'; } } // namespace } // namespace std::ranges::views using views::solve; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); solve(); } #else // __INCLUDE_LEVEL__ #include namespace std { template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } template istream& operator>>(istream& is, tuple& t) { return apply([&is](auto&... xs) -> istream& { return (is >> ... >> xs); }, t); } template istream& operator>>(istream& is, tuple&& t) { return is >> t; } template >* = nullptr> auto operator>>(istream& is, R&& r) -> decltype(is >> *begin(r)) { for (auto&& e : r) { is >> e; } return is; } template ostream& operator<<(ostream& os, const pair& p) { return os << p.first << ' ' << p.second; } template ostream& operator<<(ostream& os, const tuple& t) { auto f = [&os](const auto&... xs) -> ostream& { [[maybe_unused]] auto sep = ""; ((os << exchange(sep, " ") << xs), ...); return os; }; return apply(f, t); } template >* = nullptr> auto operator<<(ostream& os, R&& r) -> decltype(os << *begin(r)) { auto sep = ""; for (auto&& e : r) { os << exchange(sep, " ") << e; } return os; } } // namespace std namespace atcoder { template * = nullptr> istream& operator>>(istream& is, T& x) { int v; is >> v; x = T::raw(v); return is; } template * = nullptr> ostream& operator<<(ostream& os, const T& x) { return os << x.val(); } } // namespace atcoder #endif // __INCLUDE_LEVEL__