#include #ifdef LOCAL #include #else #define debug(...) void(0) #endif #include "atcoder/lazysegtree" #include "atcoder/modint" using namespace std; typedef long long ll; #define all(x) begin(x), end(x) constexpr int INF = (1 << 30) - 1; constexpr long long IINF = (1LL << 60) - 1; constexpr int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; template istream& operator>>(istream& is, vector& v) { for (auto& x : v) is >> x; return is; } template ostream& operator<<(ostream& os, const vector& v) { auto sep = ""; for (const auto& x : v) os << exchange(sep, " ") << x; return os; } template bool chmin(T& x, U&& y) { return y < x and (x = forward(y), true); } template bool chmax(T& x, U&& y) { return x < y and (x = forward(y), true); } template void mkuni(vector& v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template int lwb(const vector& v, const T& x) { return lower_bound(begin(v), end(v), x) - begin(v); } using mint = atcoder::modint998244353; struct S { mint sum, cnt; S(mint sum, mint cnt) : sum(sum), cnt(cnt) {} }; S op(S l, S r) { return S(l.sum + r.sum, l.cnt + r.cnt); } S e() { return S(0, 0); } S mapping(mint l, S r) { return S(r.sum + r.cnt * l, r.cnt); } mint composition(mint l, mint r) { return l + r; } mint id() { return 0; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int N; cin >> N; vector B(N), C(N); for (int i = 0; i < N; i++) cin >> B[i] >> C[i], B[i]--; mint ans = mint(N) * (N - 1) / 4; vector cand; for (int i = 0; i < N; i++) { cand.emplace_back(B[i]); cand.emplace_back(C[i]); } mkuni(cand); int sz = cand.size(); vector init; for (int i = 0; i < sz - 1; i++) init.emplace_back(0, cand[i + 1] - cand[i]); atcoder::lazy_segtree seg(init); for (int i = 0; i < N; i++) { int l = lwb(cand, B[i]), r = lwb(cand, C[i]); ans -= seg.prod(l, r).sum / (C[i] - B[i]) / 2; seg.apply(l, r, mint(C[i] - B[i]).inv()); } for (int i = 0; i < N; i++) ans *= i + 1; cout << ans.val() << '\n'; return 0; }