#include using namespace std; const long long MOD = 998244353; const long long HALF = 499122177; const long long QUARTER = 748683265; long long modpow(long long a, long long b){ long long ans = 1; while (b > 0){ if (b % 2 == 1){ ans *= a; ans %= MOD; } a *= a; a %= MOD; b /= 2; } return ans; } long long modinv(long long a){ return modpow(a, MOD - 2); } int main(){ int N; cin >> N; vector B(N), C(N); for (int i = 0; i < N; i++){ cin >> B[i] >> C[i]; C[i]++; } vector W(N); for (int i = 0; i < N; i++){ W[i] = modinv(C[i] - B[i]); } vector X; for (int i = 0; i < N; i++){ X.push_back(B[i]); X.push_back(C[i]); } sort(X.begin(), X.end()); X.erase(unique(X.begin(), X.end()), X.end()); int M = X.size(); for (int i = 0; i < N; i++){ B[i] = lower_bound(X.begin(), X.end(), B[i]) - X.begin(); C[i] = lower_bound(X.begin(), X.end(), C[i]) - X.begin(); } long long ans = (long long) N * (N - 1) / 2 % MOD * HALF % MOD; vector imos1(M + 1, 0), imos2(M + 1, 0); for (int i = 0; i < N; i++){ imos1[B[i]] += W[i]; imos1[B[i]] %= MOD; imos1[C[i]] += MOD - W[i]; imos1[C[i]] %= MOD; imos2[B[i]] += W[i] * W[i]; imos2[B[i]] %= MOD; imos2[C[i]] += MOD - W[i] * W[i] % MOD; imos2[C[i]] %= MOD; } for (int i = 0; i < M; i++){ imos1[i + 1] += imos1[i]; imos1[i + 1] %= MOD; imos2[i + 1] += imos2[i]; imos2[i + 1] %= MOD; } for (int i = 0; i < M; i++){ ans += MOD - (imos1[i] * imos1[i] + MOD - imos2[i]) % MOD * QUARTER % MOD * (X[i + 1] - X[i]) % MOD; ans %= MOD; } for (int i = 1; i <= N; i++){ ans *= i; ans %= MOD; } cout << ans << endl; }