#include using namespace std; using ll = long long; const int INF = 1e9 + 10; const ll INFL = 4e18; const int mod = 998244353; const int mx = 1e8 + 5; int fact[mx], factinv[mx]; int modpow(ll a, int b) { ll ret = 1; while (b) { if (b & 1) (ret *= a) %= mod; (a *= a) %= mod; b /= 2; } return ret; } int C(int a, int b) { if (a < b) return 0; if (a < 0 || b < 0) return 0; ll ret = fact[a]; ret *= factinv[b]; ret %= mod; ret *= factinv[a - b]; ret %= mod; return ret; } int main() { int K; cin >> K; vector L(K), M(K); int N = 0; for (int i = 0; i < K; i++) { cin >> L[i] >> M[i]; N += L[i] * M[i]; } ll tmp; fact[0] = 1; for (int i = 0; i < N; i++) { tmp = fact[i]; tmp *= i + 1; tmp %= mod; fact[i + 1] = tmp; } factinv[N] = modpow(fact[N], mod - 2); for (int i = N; i > 0; i--) { tmp = factinv[i]; tmp *= i; tmp %= mod; factinv[i - 1] = tmp; } ll ans = fact[N]; for (int i = 0; i < K; i++) { ans *= factinv[L[i] * M[i]]; ans %= mod; } for (int i = 0; i < K; i++) { int base = L[i]; for (int t = 0; t < M[i] - 1; t++) { int add = L[i] - 1; base += add; ans *= C(base, add); ans %= mod; base++; } } cout << ans << endl; }