結果
| 問題 |
No.3026 Range LCM (Online Version)
|
| ユーザー |
 noya2
|
| 提出日時 | 2025-02-14 01:12:23 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
TLE
(最新)
AC
(最初)
|
| 実行時間 | - |
| コード長 | 27,225 bytes |
| コンパイル時間 | 4,494 ms |
| コンパイル使用メモリ | 329,176 KB |
| 実行使用メモリ | 189,692 KB |
| 最終ジャッジ日時 | 2025-02-14 02:14:38 |
| 合計ジャッジ時間 | 72,205 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge4 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 28 TLE * 8 |
ソースコード
#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
using namespace std;
#include<bits/stdc++.h>
#line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp"
namespace noya2 {
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p){
os << p.first << " " << p.second;
return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p){
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v){
int s = (int)v.size();
for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v){
for (auto &x : v) is >> x;
return is;
}
void in() {}
template <typename T, class... U>
void in(T &t, U &...u){
cin >> t;
in(u...);
}
void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u){
cout << t;
if (sizeof...(u)) cout << sep;
out(u...);
}
template<typename T>
void out(const vector<vector<T>> &vv){
int s = (int)vv.size();
for (int i = 0; i < s; i++) out(vv[i]);
}
struct IoSetup {
IoSetup(){
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetup_noya2;
} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp"
namespace noya2{
const int iinf = 1'000'000'007;
const long long linf = 2'000'000'000'000'000'000LL;
const long long mod998 = 998244353;
const long long mod107 = 1000000007;
const long double pi = 3.14159265358979323;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";
void yes(){ cout << "Yes\n"; }
void no(){ cout << "No\n"; }
void YES(){ cout << "YES\n"; }
void NO(){ cout << "NO\n"; }
void yn(bool t){ t ? yes() : no(); }
void YN(bool t){ t ? YES() : NO(); }
} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"
#line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"
namespace noya2{
unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){
if (a == 0 || b == 0) return a + b;
int n = __builtin_ctzll(a); a >>= n;
int m = __builtin_ctzll(b); b >>= m;
while (a != b) {
int mm = __builtin_ctzll(a - b);
bool f = a > b;
unsigned long long c = f ? a : b;
b = f ? b : a;
a = (c - b) >> mm;
}
return a << std::min(n, m);
}
template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(std::abs(a),std::abs(b))); }
long long sqrt_fast(long long n) {
if (n <= 0) return 0;
long long x = sqrt(n);
while ((x + 1) * (x + 1) <= n) x++;
while (x * x > n) x--;
return x;
}
template<typename T> T floor_div(const T n, const T d) {
assert(d != 0);
return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0);
}
template<typename T> T ceil_div(const T n, const T d) {
assert(d != 0);
return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0);
}
template<typename T> void uniq(std::vector<T> &v){
std::sort(v.begin(),v.end());
v.erase(unique(v.begin(),v.end()),v.end());
}
template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }
template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }
template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; }
} // namespace noya2
#line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define repp(i,m,n) for (int i = (m); i < (int)(n); i++)
#define reb(i,n) for (int i = (int)(n-1); i >= 0; i--)
#define all(v) (v).begin(),(v).end()
using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;
namespace noya2{
/* ~ (. _________ . /) */
}
using namespace noya2;
#line 2 "c.cpp"
#line 2 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp"
#line 4 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp"
#line 2 "/Users/noya2/Desktop/Noya2_library/math/prime.hpp"
#line 4 "/Users/noya2/Desktop/Noya2_library/math/prime.hpp"
namespace noya2 {
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0) x += m;
return x;
}
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1) return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1) r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
constexpr bool is_prime_constexpr(int n) {
if (n <= 1) return false;
if (n == 2 || n == 7 || n == 61) return true;
if (n % 2 == 0) return false;
long long d = n - 1;
while (d % 2 == 0) d /= 2;
constexpr long long bases[3] = {2, 7, 61};
for (long long a : bases) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime_flag = is_prime_constexpr(n);
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0) return {b, 0};
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u;
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
if (m0 < 0) m0 += b / s;
return {s, m0};
}
constexpr int primitive_root_constexpr(int m) {
if (m == 2) return 1;
if (m == 167772161) return 3;
if (m == 469762049) return 3;
if (m == 754974721) return 11;
if (m == 998244353) return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0) x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok) return g;
}
}
template <int m> constexpr int primitive_root_flag = primitive_root_constexpr(m);
// constexpr long long primitive_root_constexpr(long long m){
// if (m == (1LL << 47) - (1LL << 24) + 1) return 3;
// return primitive_root_constexpr(static_cast<int>(m));
// }
} // namespace noya2
#line 6 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp"
namespace noya2{
struct barrett {
unsigned int _m;
unsigned long long im;
explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
unsigned int umod() const { return _m; }
unsigned int mul(unsigned int a, unsigned int b) const {
unsigned long long z = a;
z *= b;
unsigned long long x = (unsigned long long)((__uint128_t(z) * im) >> 64);
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v) v += _m;
return v;
}
};
template <int m>
struct static_modint {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
constexpr static_modint() : _v(0) {}
template<std::signed_integral T>
constexpr static_modint(T v){
long long x = (long long)(v % (long long)(umod()));
if (x < 0) x += umod();
_v = (unsigned int)(x);
}
template<std::unsigned_integral T>
constexpr static_modint(T v){
_v = (unsigned int)(v % umod());
}
constexpr unsigned int val() const { return _v; }
mint& operator++() {
_v++;
if (_v == umod()) _v = 0;
return *this;
}
mint& operator--() {
if (_v == 0) _v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
constexpr mint& operator+=(const mint& rhs) {
_v += rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
constexpr mint& operator-=(const mint& rhs) {
_v -= rhs._v;
if (_v >= umod()) _v += umod();
return *this;
}
constexpr mint& operator*=(const mint& rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (uint)(z % umod());
return *this;
}
constexpr mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
constexpr mint operator+() const { return *this; }
constexpr mint operator-() const { return mint() - *this; }
constexpr mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
constexpr mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend constexpr mint operator+(const mint& lhs, const mint& rhs) {
return mint(lhs) += rhs;
}
friend constexpr mint operator-(const mint& lhs, const mint& rhs) {
return mint(lhs) -= rhs;
}
friend constexpr mint operator*(const mint& lhs, const mint& rhs) {
return mint(lhs) *= rhs;
}
friend constexpr mint operator/(const mint& lhs, const mint& rhs) {
return mint(lhs) /= rhs;
}
friend constexpr bool operator==(const mint& lhs, const mint& rhs) {
return lhs._v == rhs._v;
}
friend constexpr bool operator!=(const mint& lhs, const mint& rhs) {
return lhs._v != rhs._v;
}
friend std::ostream &operator<<(std::ostream &os, const mint& p) {
return os << p.val();
}
friend std::istream &operator>>(std::istream &is, mint &a) {
long long t; is >> t;
a = mint(t);
return (is);
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = is_prime_flag<m>;
};
template <int id> struct dynamic_modint {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template<std::signed_integral T>
dynamic_modint(T v){
long long x = (long long)(v % (long long)(umod()));
if (x < 0) x += umod();
_v = (unsigned int)(x);
}
template<std::unsigned_integral T>
dynamic_modint(T v){
_v = (unsigned int)(v % umod());
}
uint val() const { return _v; }
mint& operator++() {
_v++;
if (_v == umod()) _v = 0;
return *this;
}
mint& operator--() {
if (_v == 0) _v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint& operator+=(const mint& rhs) {
_v += rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator-=(const mint& rhs) {
_v += mod() - rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator*=(const mint& rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = noya2::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint& lhs, const mint& rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint& lhs, const mint& rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint& lhs, const mint& rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint& lhs, const mint& rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint& lhs, const mint& rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint& lhs, const mint& rhs) {
return lhs._v != rhs._v;
}
friend std::ostream &operator<<(std::ostream &os, const mint& p) {
return os << p.val();
}
friend std::istream &operator>>(std::istream &is, mint &a) {
long long t; is >> t;
a = mint(t);
return (is);
}
private:
unsigned int _v;
static barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> noya2::barrett dynamic_modint<id>::bt(998244353);
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
template<typename T>
concept Modint = requires (T &a){
T::mod();
a.inv();
a.val();
a.pow(declval<int>());
};
} // namespace noya2
#line 4 "c.cpp"
using mint = modint998244353;
#line 2 "/Users/noya2/Desktop/Noya2_library/math/sieve.hpp"
#line 4 "/Users/noya2/Desktop/Noya2_library/math/sieve.hpp"
namespace noya2{
struct Sieve {
vector<int> primes, factor, mu;
Sieve (int N = 1024){
build(N);
}
void request(int N){
int len = n_max();
if (len >= N) return ;
while (len < N) len <<= 1;
build(len);
}
int n_max(){ return factor.size()-1; }
private:
void build (int N){
primes.clear();
factor.resize(N+1); fill(factor.begin(),factor.end(),0);
mu.resize(N+1); fill(mu.begin(),mu.end(),1);
for(int n = 2; n <= N; n++) {
if (factor[n] == 0){
primes.push_back(n);
factor[n] = n;
mu[n] = -1;
}
for (int p : primes){
if(n * p > N || p > factor[n]) break;
factor[n * p] = p;
mu[n * p] = p == factor[n] ? 0 : -mu[n];
}
}
}
} sieve;
int mobius_sieve(int n){
assert(1 <= n && n <= sieve.n_max());
return sieve.mu[n];
}
bool is_prime_sieve(int n){
if (n <= 2) return n == 2;
assert(n <= sieve.n_max());
return sieve.factor[n] == n;
}
vector<pair<int,int>> prime_factorization_sieve(int n){
assert(1 <= n && n <= sieve.n_max());
vector<int> facts;
while (n > 1){
int p = sieve.factor[n];
facts.push_back(p);
n /= p;
}
vector<pair<int,int>> pes;
int siz = facts.size();
for (int l = 0, r = 0; l < siz; l = r){
while (r < siz && facts[r] == facts[l]) r++;
pes.emplace_back(facts[l],r-l);
}
return pes;
}
vector<int> divisor_enumeration_sieve(int n){
auto pes = prime_factorization_sieve(n);
vector<int> divs = {1};
for (auto [p, e] : pes){
vector<int> nxt; nxt.reserve(divs.size() * (e+1));
for (auto x : divs){
for (int tt = 0; tt <= e; tt++){
nxt.push_back(x);
x *= p;
}
}
swap(divs,nxt);
}
return divs;
}
} // namespace noya2
#line 6 "c.cpp"
const int mx = 200010;
const int sq = sqrt(mx);
template<typename T>
struct mulinv_group {
using value_type = pair<T,T>;
static constexpr value_type op(const value_type &a, const value_type &b){
return value_type(a.first*b.first,a.second*b.second);
}
static constexpr value_type e(){
return value_type(T(1),T(1));
}
static constexpr value_type inv(const value_type &a){
return value_type(a.second,a.first);
}
};
template <typename E>
struct Monoid_Max {
using X = E;
using value_type = X;
static constexpr X op(const X &x, const X &y) noexcept { return max(x, y); }
static constexpr X unit() { return E(0); }
static constexpr bool commute = true;
};
namespace maspy {
using pi = pair<ll, ll>;
using vi = vector<ll>;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)
#define len(x) ll(x.size())
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(uint32_t x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(uint64_t x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// 冪等なモノイドであることを仮定。disjoint sparse table より x 倍高速
template <class Monoid>
struct Sparse_Table {
using MX = Monoid;
using X = typename MX::value_type;
int n, log;
vvc<X> dat;
Sparse_Table() {}
Sparse_Table(int n) { build(n); }
template <typename F>
Sparse_Table(int n, F f) {
build(n, f);
}
Sparse_Table(const vc<X>& v) { build(v); }
void build(int m) {
build(m, [](int i) -> X { return MX::unit(); });
}
void build(const vc<X>& v) {
build(len(v), [&](int i) -> X { return v[i]; });
}
template <typename F>
void build(int m, F f) {
n = m, log = 1;
while ((1 << log) < n) ++log;
dat.resize(log);
dat[0].resize(n);
FOR(i, n) dat[0][i] = f(i);
FOR(i, log - 1) {
dat[i + 1].resize(len(dat[i]) - (1 << i));
FOR(j, len(dat[i]) - (1 << i)) {
dat[i + 1][j] = MX::op(dat[i][j], dat[i][j + (1 << i)]);
}
}
}
X prod(int L, int R) {
if (L == R) return MX::unit();
if (R == L + 1) return dat[0][L];
int k = topbit(R - L - 1);
return MX::op(dat[k][L], dat[k][R - (1 << k)]);
}
template <class F>
int max_right(const F check, int L) {
assert(0 <= L && L <= n && check(MX::unit()));
if (L == n) return n;
int ok = L, ng = n + 1;
while (ok + 1 < ng) {
int k = (ok + ng) / 2;
bool bl = check(prod(L, k));
if (bl) ok = k;
if (!bl) ng = k;
}
return ok;
}
template <class F>
int min_left(const F check, int R) {
assert(0 <= R && R <= n && check(MX::unit()));
if (R == 0) return 0;
int ok = R, ng = -1;
while (ng + 1 < ok) {
int k = (ok + ng) / 2;
bool bl = check(prod(k, R));
if (bl) ok = k;
if (!bl) ng = k;
}
return ok;
}
};
template <typename Monoid, typename SPARSE_TABLE, int LOG = 4>
struct Static_Range_Product {
using MX = Monoid;
using X = typename MX::value_type;
int N, b_num;
vc<X> A, pre, suf; // inclusive
SPARSE_TABLE ST;
Static_Range_Product() {}
template <typename F>
Static_Range_Product(int n, F f) {
build(n, f);
}
Static_Range_Product(const vc<X>& v) { build(v); }
void build(const vc<X>& v) {
build(len(v), [&](int i) -> X { return v[i]; });
}
template <typename F>
void build(int m, F f) {
N = m;
b_num = N >> LOG;
A.resize(N);
FOR(i, N) A[i] = f(i);
pre = A, suf = A;
constexpr int mask = (1 << LOG) - 1;
FOR(i, 1, N) {
if (i & mask) pre[i] = MX::op(pre[i - 1], A[i]);
}
FOR_R(i, 1, N) {
if (i & mask) suf[i - 1] = MX::op(A[i - 1], suf[i]);
}
ST.build(b_num, [&](int i) -> X { return suf[i << LOG]; });
}
// O(1) or O(R-L)
X prod(int L, int R) {
if (L == R) return MX::unit();
R -= 1;
int a = L >> LOG, b = R >> LOG;
if (a < b) {
X x = ST.prod(a + 1, b);
x = MX::op(suf[L], x);
x = MX::op(x, pre[R]);
return x;
}
X x = A[L];
FOR(i, L + 1, R + 1) x = MX::op(x, A[i]);
return x;
}
};
} // namespace maspy
#line 2 "/Users/noya2/Desktop/Noya2_library/misc/concepts.hpp"
#include<concepts>
namespace noya2 {
template<class monoid>
concept Monoid = requires {
typename monoid::value_type;
{monoid::op(declval<typename monoid::value_type>(),declval<typename monoid::value_type>())} -> std::same_as<typename monoid::value_type>;
{monoid::e()} -> std::same_as<typename monoid::value_type>;
};
template<class group>
concept Group = requires {
requires Monoid<group>;
{group::inv(declval<typename group::value_type>())} -> std::same_as<typename group::value_type>;
};
} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/compress.hpp"
#line 5 "/Users/noya2/Desktop/Noya2_library/data_structure/compress.hpp"
namespace noya2{
template<typename T>
struct compress {
std::vector<T> raws;
compress () {}
compress (const vector<T> &_raws) : raws(_raws){ build(); }
void build(){
std::sort(raws.begin(), raws.end());
raws.erase(std::unique(raws.begin(), raws.end()), raws.end());
}
int id(const T &raw){ return lb(raw); }
T raw(const int &id){ return raws[id]; }
void add(const T &raw){ raws.emplace_back(raw); }
void reserve(size_t sz){ raws.reserve(sz); }
size_t size(){ return raws.size(); }
int lb(const T &raw){ return lower_bound(all(raws),raw) - raws.begin(); }
int ub(const T &raw){ return upper_bound(all(raws),raw) - raws.begin(); }
bool contains(const T &raw){
int jd = lb(raw);
if (jd < (int)size()) return raws[jd] == raw;
return false;
}
int contains_id(const T &raw){
int jd = lb(raw);
if (jd < (int)size() && raws[jd] == raw) return jd;
return -1;
}
};
} // namespace noya2
#line 204 "c.cpp"
template<Group G>
struct static_online_rectangle_sum {
using T = G::value_type;
int n, sz;
std::vector<std::vector<T>> cums;
std::vector<compress<int>> ys;
static_online_rectangle_sum(int _n, const std::vector<tuple<int,int,T>> &ps) : n(_n){
sz = bit_ceil<uint32_t>(n);
cums.resize(sz * 2);
ys.resize(sz * 2);
for (auto [x, y, v] : ps){
int xid = x + sz;
ys[xid].add(y);
while (xid > 1){
xid >>= 1;
ys[xid].add(y);
}
}
for (int i = 1; i < 2*sz; i++){
ys[i].build();
cums[i].resize(ys[i].size()+1, G::e());
}
for (auto [x, y, v] : ps){
int xid = x + sz;
assert(ys[xid].contains(y));
int yid = ys[xid].id(y) + 1;
cums[xid][yid] = G::op(cums[xid][yid], v);
while (xid > 1){
xid >>= 1;
assert(ys[xid].contains(y));
yid = ys[xid].id(y) + 1;
cums[xid][yid] = G::op(cums[xid][yid], v);
}
}
for (int i = 1; i < 2*sz; i++){
for (int j = 0; j < (int)ys[i].size(); j++){
cums[i][j+1] = G::op(cums[i][j], cums[i][j+1]);
}
}
}
T inner_prod(int xid, int lq, int rq){
return G::op(G::inv(cums[xid][ys[xid].lb(lq)]),cums[xid][ys[xid].lb(rq)]);
}
T prod(int li, int ri, int lq, int rq){
T ret = G::e();
for (li += sz, ri += sz; li < ri; li >>= 1, ri >>= 1){
if (li & 1) ret = G::op(ret, inner_prod(li, lq, rq)), li++;
if (ri & 1) --ri, ret = G::op(ret, inner_prod(ri, lq, rq));
}
return ret;
}
};
void solve(){
int n; in(n);
vector<int> a(n); in(a);
vector<vector<int>> ids(mx);
vector<int> psml;
vector<int> pid(mx);
for (int p : sieve.primes){
if (p >= sq) break;
pid[p] = psml.size();
psml.emplace_back(p);
}
int sz = psml.size();
vector<vector<mint>> pws(sz,vector<mint>(30,1));
rep(i,sz){
rep(j,30-1){
pws[i][j+1] = pws[i][j] * psml[i];
}
}
using Mono = Monoid_Max<int8_t>;
using ST = maspy::Sparse_Table<Mono>;
vector<vector<int8_t>> init(sz,vector<int8_t>(n));
rep(i,n){
for (auto [p, e] : prime_factorization_sieve(a[i])){
if (p < sq){
init[pid[p]][i] = e;
}
else {
assert(e == 1);
ids[p].emplace_back(i);
}
}
}
mint tot = 1;
vector<maspy::Static_Range_Product<Mono,ST>> segs(sz);
rep(i,sz){
segs[i] = maspy::Static_Range_Product<Mono,ST>(init[i]);
}
using T = mulinv_group<mint>::value_type;
vector<tuple<int,int,T>> upds;
rep(p,mx){
if (ids[p].empty()) continue;
ids[p].emplace_back(n);
tot *= p;
int pre = -1;
mint ip = mint(p).inv();
for (int i : ids[p]){
upds.push_back({pre+1,i+1,T{mint(p),ip}});
pre = i;
}
}
static_online_rectangle_sum<mulinv_group<mint>> rt(n+2,upds);
int q; in(q);
mint pans = 1;
while (q--){
mint A, B; in(A,B);
mint x = A * pans;
int y = x.val() % n + 1;
mint z = B * pans;
int w = z.val() % n + 1;
int l = min(y,w), r = max(y,w); l--;
// int l, r; in(l,r); l--;
mint ans = tot * rt.prod(0,l+1,r+1,n+2).second;
rep(i,sz){
ans *= pws[i][segs[i].prod(l,r)];
}
out(ans);
pans = ans;
}
}
int main(){
sieve.request(mx);
int t = 1; //in(t);
while (t--) { solve(); }
}