// need #include #include // data structure #include #include #include #include #include #include #include #include #include //#include #include #include #include #include // etc #include #include #include #include #include #include #include // input #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template void MACRO_VAR_Scan(T& t) { std::cin >> t; } templatevoid MACRO_VAR_Scan(First& first, Rest& ...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_ void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } templatevoid MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } templatevoid MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define VEC(type, c, n) std::vector c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& R:c)for(auto& w:R)std::cin>>w; // output #define OUT(dist) std::cout<<(dist); #define FOUT(n, dist) std::cout<=(a);--w) #define REP(w, n) for(int w=0;w=0;--w) #define IN(a, x, b) (a<=x && x inline T CHMAX(T & a, const T b) { return a = (a < b) ? b : a; } template inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } // test template using V = std::vector; template using VV = V>; template std::ostream& operator<<(std::ostream& os, std::pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define random_shuffle "USE std::shuffle!"; // type/const #define int ll using ll = long long; using ull = unsigned long long; using ld = long double; using PAIR = std::pair; using PAIRLL = std::pair; constexpr int INFINT = (1 << 30) - 1; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-10; constexpr int MOD = 998244353; constexpr double PI = 3.141592653589793238462643383279; template void FILL(T(&a)[N], const T & val) { for (auto& x : a) x = val; } template void FILL(ARY(&a)[N][M], const T & val) { for (auto& b : a) FILL(b, val); } template void FILL(std::vector & a, const T & val) { for (auto& x : a) x = val; } template void FILL(std::vector> & a, const T & val) { for (auto& b : a) FILL(b, val); } // ------------>8------------------------------------->8------------ class Mo { std::vector Ls, Rs, o; std::vector v; int width; int nl, nr, ptr; inline void distribute(int idx) { v[idx].flip(); if (v[idx]) add(idx); else del(idx); } void add(int i); void del(int i); public: Mo(int n) : width((int)std::sqrt(n)), nl(0), nr(0), ptr(0), v(n) {} // [l, r)に対するクエリを追加 void insert(int l, int r) { Ls.emplace_back(l); Rs.emplace_back(r); } // クエリをソート void build() { o.resize(Ls.size()); std::iota(o.begin(), o.end(), 0); std::sort(o.begin(), o.end(), [&](int a, int b) { if (Ls[a] / width != Ls[b] / width) return Ls[a] < Ls[b]; return Rs[a] < Rs[b]; }); } // クエリを1つ分進めてクエリのidを返す int process() { if (ptr == o.size()) return -1; const auto id = o[ptr]; while (nl > Ls[id]) distribute(--nl); while (nr < Rs[id]) distribute(nr++); while (nl < Ls[id]) distribute(nl++); while (nr > Rs[id]) distribute(--nr); return o[ptr++]; } }; const int M = 2003; int P[M + 1]; int invP[M + 1]; int minP[M + 1]; bool isP[M + 1]; struct Eratosthenes { Eratosthenes() { int p = 0; REP(i, M + 1) isP[i] = true, minP[i] = -1; isP[0] = isP[1] = false; minP[0] = 0; minP[1] = 1; FOR(i, 2, M + 1) { if (isP[i]) { minP[i] = i; P[p] = i; invP[i] = p++; for (int j = i * 2LL; j <= M; j += i) { isP[j] = false; if (minP[j] == -1) minP[j] = i; } } } } } _eratosthenes_init; int n; V a; std::map map; int cnt0; void Mo::add(int i) { int t = a[i]; if (t == 0) ++cnt0; while (t > 1) { ++map[minP[t]]; t /= minP[t]; } } void Mo::del(int i) { int t = a[i]; if (t == 0) --cnt0; while (t > 1) { if(--map[minP[t]] == 0) map.erase(minP[t]); t /= minP[t]; } } std::vector> primeFact(ll n) { std::vector> result; for (ll i = 2; i * i <= n; ++i) { int divCount = 0; if (n % i == 0) { do { ++divCount; n /= i; } while (n % i == 0); result.emplace_back(i, divCount); } } if (n != 1) result.emplace_back(n, 1); return result; } signed main() { INIT; VAR(int, n); VEC(int, a_, n); a = a_; VAR(int, Q); VEC_ROW(int, Q, p, l, r); Mo mo(n); REP(i, Q) { --l[i]; mo.insert(l[i], r[i]); } mo.build(); V ans(Q); REP(i, Q) { int idx = mo.process(); ans[idx] = true; if (cnt0) continue; auto cnt(primeFact(p[idx])); for (auto& p : cnt) { if (!map.count(p.first)) ans[idx] = false; if (p.second > map[p.first]) ans[idx] = false; if (!ans[idx]) break; } } REP(i, Q) { OUT(ans[i] ? "Yes" : "NO")BR; } return 0; }