/** author: shobonvip created: 2025.01.17 21:20:38 **/ #include using namespace std; //* ATCODER #include using namespace atcoder; typedef modint998244353 mint; //*/ /* BOOST MULTIPRECISION #include using namespace boost::multiprecision; //*/ typedef long long ll; #define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) #define all(v) v.begin(), v.end() template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } template T max(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]); return ret; } template T min(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]); return ret; } template T sum(vector &a){ T ret = 0; for (int i=0; i<(int)a.size(); i++) ret += a[i]; return ret; } int main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); int k; cin >> k; vector l(k), m(k); rep(i,0,k) cin >> l[i] >> m[i]; int cnt = 0; rep(i,0,k) cnt += l[i] * m[i]; mint ans = 1; rep(i,1,cnt+1)ans *= i; rep(i,0,k) { mint mnt = 1; rep(x,1,l[i]*m[i]+1) mnt *= x; ans /= mnt; mnt = 1; rep(x,1,l[i]-1+1) mnt *= x; ans /= mnt.pow(m[i]); rep(x,1,m[i]*l[i]) { if (x % l[i] == 0) continue; ans *= x; } /* rep(j,0,m[i]) { ans *= fact[(j + 1) * l[i] - 1]; ans *= factinv[j * l[i]]; } */ } cout << ans.val() << endl; }