#include <bits/stdc++.h> using namespace std; #include <atcoder/all> using namespace atcoder; using mint = modint998244353; using vm = vector<mint>; using vvm = vector<vm>; inline ostream &operator<<(ostream &os, const mint x) { return os << x.val(); }; inline istream &operator>>(istream &is, mint &x) { long long v; is >> v; x = v; return is; }; struct Fast { Fast() { std::cin.tie(nullptr); ios::sync_with_stdio(false); cout << setprecision(10); } } fast; #define all(a) (a).begin(), (a).end() #define contains(a, x) ((a).find(x) != (a).end()) #define rep(i, a, b) for (int i = (a); i < (int)(b); i++) #define rrep(i, a, b) for (int i = (int)(b) - 1; i >= (a); i--) #define YN(b) cout << ((b) ? "YES" : "NO") << "\n"; #define Yn(b) cout << ((b) ? "Yes" : "No") << "\n"; #define yn(b) cout << ((b) ? "yes" : "no") << "\n"; using ll = long long; using vl = vector<ll>; using vi = vector<int>; using vvi = vector<vi>; int opmax(int x, int y) { return max(x, y); } int opor(int x, int y) { return x | y; } int e() { return 0; } void solve() { const int m = 200200; const int sq = 500; vi ps, lpf(m + 1); rep(i, 0, m + 1) lpf[i] = i; rep(i, 2, m + 1) { if (lpf[i] == i) { ps.push_back(i); for (int j = i; j <= m; j += i) if (lpf[j] > i) lpf[j] = i; } } map<int, int> ps_idx; rep(i, 0, ps.size()) ps_idx[ps[i]] = i; const int B = 10; int n; cin >> n; vi a(n); rep(i, 0, n) cin >> a[i]; vi ps_small, ps_large; for (auto p : ps) { if (p < sq) ps_small.push_back(p); else ps_large.push_back(p); } int x0 = ps_idx[ps_large[0]]; vector<segtree<int, opmax, e>> seg_small(ps_small.size()); rep(i, 0, seg_small.size()) seg_small[i] = segtree<int, opmax, e>(n); vector<segtree<int, opor, e>> seg_large((ps_large.size() + B - 1) / B); rep(i, 0, seg_large.size()) seg_large[i] = segtree<int, opor, e>(n); rep(i, 0, a.size()) { int v = a[i]; while (v > 1) { int p = lpf[v]; int c = 0; while (v % p == 0) { v /= p; c++; } if (p < sq) seg_small[ps_idx[p]].set(i, c); else { int x = ps_idx[p] - x0; seg_large[x / B].set(i, 1 << (x % B)); } } } vvi pow(seg_small.size()); rep(i, 0, pow.size()) { int p = ps_small[i]; int sz = seg_small[i].all_prod(); pow[i] = vi(sz + 1); pow[i][0] = 1; rep(j, 1, pow[i].size()) pow[i][j] = pow[i][j - 1] * p; } vvm prod(seg_large.size()); rep(i, 0, prod.size()) { int sz = seg_large[i].all_prod(); int c = min(B, (int)ps_large.size() - i * B); prod[i] = vm(sz + 1, 1); rep(j, 0, prod[i].size()) rep(k, 0, c) if (((j >> k) & 1) == 1) prod[i][j] *= ps_large[i * B + k]; } int q; cin >> q; const ll MOD = 998244353; mint prv_ans = 1; while (q-- > 0) { ll x, z; cin >> x >> z; x = (x * prv_ans).val(), z = (z * prv_ans).val(); ll y = x % n, w = z % n; int l = (int)min(y, w), r = (int)max(y, w) + 1; mint ans = 1; rep(i, 0, seg_small.size()) ans *= pow[i][seg_small[i].prod(l, r)]; rep(i, 0, seg_large.size()) ans *= prod[i][seg_large[i].prod(l, r)]; cout << ans.val() << "\n"; prv_ans = ans.val(); } } int main() { int t = 1; // cin >> t; while (t--) solve(); }