#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } ll my_pow(ll x, ll n, ll mod) { //  繰り返し二乗法.x^nをmodで割った余り. ll ret; if (n == 0) { ret = 1; } else if (n % 2 == 1) { ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod; } else { ret = my_pow((x * x) % mod, n / 2, mod); } return ret; } ll inv(ll x, ll mod) { return my_pow(x, mod - 2, mod); } int main() { ll K; cin >> K; vector L(K); vector M(K); for (ll i = 0; i < K; i++) { cin >> L[i] >> M[i]; } ll now = 0; for (ll i = 0; i < K; i++) { now += L[i] * M[i]; } ll max_now = now; vector appear_val(1, now); for (ll i = 0; i < K; i++) { now -= L[i] * M[i]; appear_val.push_back(now); appear_val.push_back(L[i]); appear_val.push_back(M[i]); } sort(all(appear_val)); appear_val.erase(unique(all(appear_val)), appear_val.end()); // debug(appear_val); map fact; map fact_inv; ll now_fact = 1; ll cur = 0; for (ll i = 0; i <= max_now; i++) { if (appear_val[cur] == i) { fact[i] = now_fact; fact_inv[i] = inv(now_fact, mod2); cur++; } now_fact = (now_fact * (i + 1)) % mod2; } ll ans = 1; now = max_now; for (ll i = 0; i < K; i++) { // debug_out(now, now - L[i] * M[i], L[i], M[i]); ans = (ans * fact[now]) % mod2; ans = (ans * fact_inv[now - L[i] * M[i]]) % mod2; ans = (ans * my_pow(fact_inv[L[i]], M[i], mod2)) % mod2; ans = (ans * fact_inv[M[i]]) % mod2; now -= L[i] * M[i]; } cout << ans << endl; }