#ifndef LOCAL #pragma GCC optimize("Ofast") #endif #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using i64 = int_fast64_t; using pii = pair; using pli = pair; using pll = pair; template using heap = priority_queue; template using minheap = priority_queue, greater>; template constexpr T inf = numeric_limits::max() / (T)2 - (T)123456; constexpr int dx[9] = {1, 0, -1, 0, 1, -1, -1, 1, 0}; constexpr int dy[9] = {0, 1, 0, -1, 1, 1, -1, -1, 0}; constexpr long double Pi = 3.1415926535897932384626433832; constexpr long double Golden = 1.61803398874989484820; #define iostream_untie true #define stdout_precision 10 #define stderr_precision 10 #define itrep(i,v) for(auto i = begin(v); i != end(v); ++i) #define ritrep(i,v) for(auto i = rbegin(v); i != rend(v); ++i) #define rep(i,n) for(int_fast64_t i = 0; i < (int_fast64_t)(n); ++i) #define rrep(i,n) for(int_fast64_t i = (int_fast64_t)(n) - 1; i >= 0; --i) #define all(v) begin(v), end(v) #define rall(v) rbegin(v), rend(v) #define fir first #define sec second #define u_map unordered_map #define u_set unordered_set #define l_bnd lower_bound #define u_bnd upper_bound #define emp emplace #define emf emplace_front #define emb emplace_back #define pof pop_front #define pob pop_back #define mkp make_pair #define mkt make_tuple #define popcnt __builtin_popcount namespace setup { struct setupper { setupper() { if(iostream_untie) { ios::sync_with_stdio(false); std::cin.tie(nullptr); std::cout.tie(nullptr); std::cerr.tie(nullptr); } std::cout << std::fixed << std::setprecision(stdout_precision); std::cerr << std::fixed << std::setprecision(stderr_precision); #ifdef LOCAL if(!freopen("stderr.txt","wt",stderr)) { freopen("CON","wt",stderr); std::cerr << "Failed to open the stderr file\n"; } if(!freopen("stdout.txt","wt",stdout)) { freopen("CON","wt",stdout); std::cerr << "Failed to open the stdout file\n"; } if(!freopen("stdin.txt","rt",stdin)) { freopen("CON","rt",stdin); std::cerr << "Failed to open the stdin file.\n"; } // auto print_atexit = []() { // std::cerr << "Exec time : " << clock() / (double)CLOCKS_PER_SEC * 1000.0 << "ms\n"; // std::cerr << "------------\n"; // }; // atexit((void(*)())print_atexit); #endif } } __setupper; } namespace std { template void rsort(RAitr __first, RAitr __last) { sort(__first, __last, greater<>()); } template void hash_combine(size_t &seed, T const &key) { seed ^= hash()(key) + 0x9e3779b9 + (seed << 6) + (seed >> 2); } template struct hash> { size_t operator()(pair const &pr) const { size_t seed = 0; hash_combine(seed,pr.first); hash_combine(seed,pr.second); return seed; } }; template ::value - 1> struct hashval_calc { static void apply(size_t& seed, tuple_t const& t) { hashval_calc::apply(seed, t); hash_combine(seed,get(t)); } }; template struct hashval_calc { static void apply(size_t& seed, tuple_t const& t) { hash_combine(seed,get<0>(t)); } }; template struct hash> { size_t operator()(tuple const& t) const { size_t seed = 0; hashval_calc>::apply(seed,t); return seed; } }; } template istream &operator>> (istream &s, pair &p) { return s >> p.first >> p.second; } template ostream &operator<< (ostream &s, const pair p) { return s << p.first << " " << p.second; } template istream &operator>> (istream &s, vector &v) { for(T &e : v) { s >> e; } return s; } template ostream &operator<< (ostream &s, const vector &v) { for(size_t i = 0; i < v.size(); ++i) { s << (i ? " " : "") << v[i]; } return s; } template struct tupleos { static ostream &apply(ostream &s, const tuple_t &t) { tupleos::apply(s,t); return s << " " << get(t); } }; template struct tupleos { static ostream &apply(ostream &s, const tuple_t &t) { return s << get<0>(t); } }; template ostream &operator<< (ostream &s, const tuple &t) { return tupleos, tuple_size>::value - 1>::apply(s,t); } template <> ostream &operator<< (ostream &s, const tuple<> &t) { return s; } #define dump(...) cerr << " [ " << __LINE__ << " : " << __FUNCTION__ << " ] " << #__VA_ARGS__ << " : ";\ dump_func(__VA_ARGS__) template void dump_func(T x) { cerr << x << '\n'; } template void dump_func(T x, Rest ... rest) { cerr << x << ","; dump_func(rest...); } template void write(T x) { cout << x << '\n'; } template void write(T x, Rest ... rest) { cout << x << ' '; write(rest...); } void writeln() {} template void writeln(T x, Rest ... rest) { cout << x << '\n'; writeln(rest...); } #define esc(...) writeln(__VA_ARGS__), exit(0) template void read(P __first, P __second) { for(P i = __first; i != __second; ++i) cin >> *i; } namespace updater { template static void add(T &x, const T &y) { x += y; } template static void ext_add(T &x, const T &y, size_t w) { x += y * w; } template static void mul(T &x, const T &y) { x *= y; } template static void ext_mul(T &x, const T &y, size_t w) { x *= (T)pow(y,w); } template static bool chmax(T &x, const T &y) { return x < y ? x = y, true : false; } template static bool chmin(T &x, const T &y) { return x > y ? x = y, true : false; } }; using updater::add; using updater::chmax; using updater::chmin; template constexpr T minf(const T &x, const T &y) { return min(x,y); } template constexpr T maxf(const T &x, const T &y) { return max(x,y); } constexpr bool bit(i64 n, int e) { return (n >> e) & 1; } constexpr int_fast64_t mask(int_fast64_t n, int e) { return n & ((1 << e) - 1); } constexpr int ilog(int_fast64_t x, int_fast64_t b = 2) { return x ? 1 + ilog(x / b, b) : -1; } int_fast64_t binry(int_fast64_t ok, int_fast64_t ng, const function &fn) { while (abs(ok - ng) > 1) { int_fast64_t mid = (ok + ng) / 2; (fn(mid) ? ok : ng) = mid; } return ok; } template void init(A (&array)[N], const T &val) { fill((T*)array,(T*)(array + N),val); } template vector cmprs(const vector &v) { vector tmp = v; vector ret; sort(begin(tmp),end(tmp)); tmp.erase(unique(begin(tmp),end(tmp)), end(tmp)); for(T i : v) ret.emplace_back(lower_bound(begin(tmp),end(tmp),i) - begin(tmp)); return ret; } template vector cmprs(const T *__first, const T *__last) { return cmprs(vector(__first, __last)); } void for_subset(int_fast64_t s, const function &fn) { int_fast64_t tmp = s; do { fn(tmp); } while((--tmp &= s) != s); } /* The main code follows. */ int n; // int a[1<<17]; int qry; vector pri; bool mit[2021]; int c[1<<17][334]; int zcnt[1<<17]; void solve() { int p,l,r; cin>>p>>l>>r; if(zcnt[r]>zcnt[l-1]) { cout<<"Yes\n"; return; } for(int i=0; i<303; ++i) { int now=c[r][i]-c[l-1][i]; while(p%pri[i] == 0) { now--; p/=pri[i]; } if(now<0) { cout<<"NO\n"; return; } } if(p!=1) { cout<<"NO\n"; } else cout<<"Yes\n"; } signed main() { mit[1]=true; for(int p=2; p<2000; ++p) { if(mit[p]) { continue; } pri.emplace_back(p); for(int i=p*2; i<=2000; i+=p) { mit[i]=true; } } assert(pri.size()==303); cin>>n; for(int i=0; i>a[i]; int z; cin>>z; for(int x=0; x<303; ++x) { if(!z) { c[i+1][x]=1e5; zcnt[i+1]=1; continue; } while(!(z%pri[x])) { c[i+1][x]++; z/=pri[x]; } } } for(int i=0; i>qry; while(qry--) solve(); }