#include #include using namespace std; using namespace atcoder; istream &operator>>(istream &is, modint &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint &a) { return os << a.val(); } istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); } istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); } typedef long long ll; typedef vector> Graph; typedef pair pii; typedef pair pll; #define FOR(i,l,r) for (int i = l;i < (int)(r); i++) #define rep(i,n) for (int i = 0;i < (int)(n); i++) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define my_sort(x) sort(x.begin(), x.end()) #define my_max(x) *max_element(all(x)) #define my_min(x) *min_element(all(x)) template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } const int INF = (1<<30) - 1; const ll LINF = (1LL<<62) - 1; const int MOD = 998244353; const int MOD2 = 1e9+7; const double PI = acos(-1); vector di = {1,0,-1,0}; vector dj = {0,1,0,-1}; #ifdef LOCAL # include # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using mint = modint998244353; // using mint = double; int main(){ cin.tie(0); ios_base::sync_with_stdio(false); int N; cin >> N; vector l(N), r(N); rep(i, N) { cin >> l[i] >> r[i]; l[i]--; } mint inv2 = mint(1) / mint(2); mint ans = 1; FOR(i, 1, N){ if(r[0] <= l[i]) ans += 1; else if(l[0] >= r[i]); else { auto func = [&](int left, int right){ mint res = 0; res += (r[i] - 1) * (right - left); res -= right * (right - 1) * inv2; res += left * (left - 1) * inv2; res /= (mint)(r[i] - l[i]); debug(res); return res; }; mint tmp = 0; if((l[0] <= l[i]) && (r[0] <= r[i])){ debug(1); debug(r[i] - l[i]); tmp += (mint)(l[i] - l[0]); tmp += func(l[i], r[0]); } else if((l[0] <= l[i]) && (r[0] >= r[i])){ debug(2); tmp += (mint)(l[i] - l[0]); tmp += func(l[i], r[i]); } else if((l[0] >= l[i]) && (r[0] <= r[i])){ debug(3); tmp += func(l[0], r[0]); } else if((l[0] >= l[i]) && (r[0] >= r[i])){ debug(4); tmp += func(l[0], r[i]); } debug(tmp); tmp /= (mint)(r[0] - l[0]); ans += tmp; } } cout << ans << endl; }