#include #pragma GCC optimize("O3", "unroll-loops") #pragma GCC target("avx") using namespace std; using lint = long long int; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((lint)(x).size()) #define POW2(n) (1LL << (n)) #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector &vec, int len) { vec.resize(len); } template void ndarray(vector &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); } template bool mmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; } template bool mmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; } template pair operator+(const pair &l, const pair &r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair &l, const pair &r) { return make_pair(l.first - r.first, l.second - r.second); } template istream &operator>>(istream &is, vector &vec){ for (auto &v : vec) is >> v; return is; } ///// This part below is only for debug, not used ///// template ostream &operator<<(ostream &os, const vector &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const deque &vec){ os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const set &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_set &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const multiset &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_multiset &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const pair &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; } template ostream &operator<<(ostream &os, const map &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_map &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl; ///// END ///// #include #include #include using namespace __gnu_pbds; // find_by_order(), order_of_key() template using pbds_set = tree, rb_tree_tag, tree_order_statistics_node_update>; template using pbds_map = tree, rb_tree_tag, tree_order_statistics_node_update>; int main() { vector primes{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43}; int N; cin >> N; vector A(N); cin >> A; vector> rc(45); vector> rc2(2000); set ps, ps2; REP(i, N) { int a = A[i]; for (auto p : primes) { while (a % p == 0) { if (rc[p].size() == 0) { rc[p].resize(N + 1); ps.insert(p); } rc[p][i + 1]++; a /= p; } } if (a == 1) continue; ps2.insert(a); rc2[a].insert(i); } REP(d, 45) if (rc[d].size()) { REP(i, N) rc[d][i + 1] += rc[d][i]; } int Q; cin >> Q; REP(_, Q) { int P, L, R; cin >> P >> L >> R; bool flg = true; for (auto d : ps) { if (P < d) break; int n = rc[d][R] - rc[d][L - 1]; while (P % d == 0) { if (n) n--; else { flg = false; break; } P /= d; } } if (!flg) { puts("NO"); continue; } if (P == 1) { puts("Yes"); continue; } for (auto d : ps2) if (P % d == 0) { int n = rc2[d].order_of_key(R) - rc2[d].order_of_key(L - 1); while (P % d == 0) { if (n) n--; else { flg = false; break; } P /= d; } if (!flg) break; } if (P == 1) puts("Yes"); else puts("NO"); } }