#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 + 3; int fact[mx + 5], factinv[mx + 5]; 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 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 < mx; i++) { tmp = fact[i]; tmp *= i + 1; tmp %= mod; fact[i + 1] = tmp; } factinv[mx] = modpow(fact[mx], mod - 2); for (int i = mx; 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 *= fact[base]) %= mod; (ans *= factinv[add]) %= mod; (ans *= factinv[base - add]) %= mod; base++; } } cout << ans << endl; }