結果

問題 No.1529 Constant Lcm
ユーザー あんこあんこ
提出日時 2021-06-07 08:51:31
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 156 ms / 3,000 ms
コード長 20,374 bytes
コンパイル時間 1,769 ms
コンパイル使用メモリ 187,720 KB
実行使用メモリ 11,172 KB
最終ジャッジ日時 2024-11-24 09:33:11
合計ジャッジ時間 5,304 ms
ジャッジサーバーID
(参考情報)
judge5 / judge4
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 2 ms
5,248 KB
testcase_04 AC 1 ms
5,248 KB
testcase_05 AC 1 ms
5,248 KB
testcase_06 AC 2 ms
5,248 KB
testcase_07 AC 2 ms
5,248 KB
testcase_08 AC 1 ms
5,248 KB
testcase_09 AC 2 ms
5,248 KB
testcase_10 AC 139 ms
10,368 KB
testcase_11 AC 55 ms
6,144 KB
testcase_12 AC 4 ms
5,248 KB
testcase_13 AC 126 ms
9,472 KB
testcase_14 AC 92 ms
7,296 KB
testcase_15 AC 84 ms
7,356 KB
testcase_16 AC 58 ms
6,656 KB
testcase_17 AC 35 ms
5,248 KB
testcase_18 AC 41 ms
5,248 KB
testcase_19 AC 89 ms
7,424 KB
testcase_20 AC 150 ms
11,172 KB
testcase_21 AC 145 ms
11,128 KB
testcase_22 AC 144 ms
11,136 KB
testcase_23 AC 132 ms
11,136 KB
testcase_24 AC 144 ms
11,052 KB
testcase_25 AC 156 ms
11,060 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
using pll = pair<ll, ll>;
using uint = unsigned;
using pii = pair<int, int>;
template<class T> using pq = priority_queue<T, vector<T>, greater<T>>;

const int IINF = 0x1fffffff;
const ll LINF = 0x1fffffffffffffff;
const ll MINF = 0x7fffffffffff;
const ll MOD = 1000000007;
const ll MODD = 998244353;
const ld DINF=numeric_limits<ld>::infinity();
const ld EPS=1e-9;
const ld PI=3.1415926535897932;
const ll dx[] = {0, 1, 0, -1, 1, -1, 1, -1};
const ll dy[] = {1, 0, -1, 0, 1, 1, -1, -1};

#define overload4(_1,_2,_3,_4,name,...) name
#define overload3(_1,_2,_3,name,...) name
#define rep1(n) for(ll i=0;i<n;++i)
#define rep2(i,n) for(ll i=0;i<n;++i)
#define rep3(i,a,b) for(ll i=a;i<b;++i)
#define rep4(i,a,b,c) for(ll i=a;i<b;i+=c)
#define rep(...) overload4(__VA_ARGS__,rep4,rep3,rep2,rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i=n;i--;)
#define rrep2(i,n) for(ll i=n;i--;)
#define rrep3(i,a,b) for(ll i=b;i-->(a);)
#define rrep4(i,a,b,c) for(ll i=(a)+((b)-(a)-1)/(c)*(c);i>=(a);i-=c)
#define rrep(...) overload4(__VA_ARGS__,rrep4,rrep3,rrep2,rrep1)(__VA_ARGS__)
#define each1(i,a) for(auto&&i:a)
#define each2(x,y,a) for(auto&&[x,y]:a)
#define each3(x,y,z,a) for(auto&&[x,y,z]:a)
#define each(...) overload4(__VA_ARGS__,each3,each2,each1)(__VA_ARGS__)
#define all1(i) begin(i),end(i)
#define all2(i,a) begin(i),begin(i)+a
#define all3(i,a,b) begin(i)+a,begin(i)+b
#define all(...) overload3(__VA_ARGS__,all3,all2,all1)(__VA_ARGS__)
#define rall1(i) (i).rbegin(),(i).rend()
#define rall2(i,k) (i).rbegin(),(i).rbegin()+k
#define rall3(i,a,b) (i).rbegin()+a,(i).rbegin()+b
#define rall(...) overload3(__VA_ARGS__,rall3,rall2,rall1)(__VA_ARGS__)
#define sum(...) accumulate(all(__VA_ARGS__),0LL)
#define dsum(...) accumulate(all(__VA_ARGS__),0.0L)
#define Msum(...) accumulate(all(__VA_ARGS__),0_M)
#define elif else if
#define unless(a) if(!(a))
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;in(__VA_ARGS__)
#define Sort(a) sort(all(a))
#define Rev(a) reverse(all(a))
#define Uniq(a) sort(all(a));a.erase(unique(all(a)),end(a))
#define vec vector
#define VEC(type,name,size) vector<type>name(size);in(name)
#define vv(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__))
#define VV(type,name,h,w) vector<vector<type>>name(h,vector<type>(w));in(name)
#define vvv(type,name,h,w,...) vector<vector<vector<type>>>name(h,vector<vector<type>>(w,vector<type>(__VA_ARGS__)))
template<class T> auto min(const T& a){ return *min_element(all(a)); }
template<class T> auto max(const T& a){ return *max_element(all(a)); }
inline ll popcnt(ull a){ return __builtin_popcountll(a); }
ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; }
ll modpow(ll a, ll b, ll p){ ll ans = 1; while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
template<class T> bool chmin(T& a, const T& b){ if(a > b){ a = b; return 1; } return 0; }
template<class T> bool chmax(T& a, const T& b){ if(a < b){ a = b; return 1; } return 0; }
template<class T, class U> bool chmin(T& a, const U& b){ if(a > T(b)){ a = b; return 1; } return 0; }
template<class T, class U> bool chmax(T& a, const U& b){ if(a < T(b)){ a = b; return 1; } return 0; }
vector<ll> iota(ll n, ll begin = 0){ vector<ll> a(n); iota(a.begin(), a.end(), begin); return a; }
vector<pll> factor(ull x){ vector<pll> ans; for(ull i = 2; i * i <= x; i++) if(x % i == 0){ ans.push_back({i, 1}); while((x /= i) % i == 0) ans.back().second++; } if(x != 1) ans.push_back({x, 1}); return ans; }
map<ll,ll> factor_map(ull x){ map<ll,ll> ans; for(ull i = 2; i * i <= x; i++) if(x % i == 0){ ans[i] = 1; while((x /= i) % i == 0) ans[i]++; } if(x != 1) ans[x] = 1; return ans; }
vector<ll> divisor(ull x){ vector<ll> ans; for(ull i = 1; i * i <= x; i++) if(x % i == 0) ans.push_back(i); rrep(ans.size() - (ans.back() * ans.back() == x)) ans.push_back(x / ans[i]); return ans; }
template<class T> unordered_map<T, ll> press(vector<T> a){ Uniq(a); unordered_map<T, ll> ans; rep(a.size()) ans[a[i]] = i; return ans; }
template<class T> map<T, ll> press_map(vector<T> a){ Uniq(a); map<T, ll> ans; rep(a.size()) ans[a[i]] = i; return ans; }
int scan(){ return getchar(); }
void scan(int& a){ scanf("%d", &a); }
void scan(unsigned& a){ scanf("%u", &a); }
void scan(long& a){ scanf("%ld", &a); }
void scan(long long& a){ scanf("%lld", &a); }
void scan(unsigned long long& a){ scanf("%llu", &a); }
void scan(char& a){ do{ a = getchar(); }while(a == ' ' || a == '\n'); }
void scan(float& a){ scanf("%f", &a); }
void scan(double& a){ scanf("%lf", &a); }
void scan(long double& a){ scanf("%Lf", &a); }
void scan(vector<bool>& a){ for(unsigned i = 0; i < a.size(); i++){ int b; scan(b); a[i] = b; } }
void scan(char a[]){ scanf("%s", a); }
void scan(string& a){ cin >> a; }
template<class T> void scan(vector<T>&);
template<class T, size_t size> void scan(array<T, size>&);
template<class T, class L> void scan(pair<T, L>&);
template<class T, size_t size> void scan(T(&)[size]);
template<class T> void scan(vector<T>& a){ for(auto&& i : a) scan(i); }
template<class T> void scan(deque<T>& a){ for(auto&& i : a) scan(i); }
template<class T, size_t size> void scan(array<T, size>& a){ for(auto&& i : a) scan(i); }
template<class T, class L> void scan(pair<T, L>& p){ scan(p.first); scan(p.second); }
template<class T, size_t size> void scan(T (&a)[size]){ for(auto&& i : a) scan(i); }
template<class T> void scan(T& a){ cin >> a; }
void in(){}
template <class... T> void in(T&... a){ (void)initializer_list<int>{ (scan(a), 0)... }; }
void print(){ putchar(' '); }
void print(bool a){ printf("%d", a); }
void print(int a){ printf("%d", a); }
void print(unsigned a){ printf("%u", a); }
void print(long a){ printf("%ld", a); }
void print(long long a){ printf("%lld", a); }
void print(unsigned long long a){ printf("%llu", a); }
void print(char a){ printf("%c", a); }
void print(char a[]){ printf("%s", a); }
void print(const char a[]){ printf("%s", a); }
void print(float a){ printf("%.15f", a); }
void print(double a){ printf("%.15f", a); }
void print(long double a){ printf("%.15Lf", a); }
void print(const string& a){ for(auto&& i : a) print(i); }
template<class T> void print(const complex<T>& a){ if(a.real() >= 0) print('+'); print(a.real()); if(a.imag() >= 0) print('+'); print(a.imag()); print('i'); }
template<class T> void print(const vector<T>&);
template<class T, size_t size> void print(const array<T, size>&);
template<class T, class L> void print(const pair<T, L>& p);
template<class T, size_t size> void print(const T (&)[size]);
template<class T> void print(const vector<T>& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } }
template<class T> void print(const deque<T>& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } }
template<class T, size_t size> void print(const array<T, size>& a){ print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } }
template<class T, class L> void print(const pair<T, L>& p){ print(p.first); putchar(' '); print(p.second); }
template<class T, size_t size> void print(const T (&a)[size]){ print(a[0]); for(auto i = a; ++i != end(a); ){ putchar(' '); print(*i); } }
template<class T> void print(const T& a){ cout << a; }
int out(){ putchar('\n'); return 0; }
template<class T> int out(const T& t){ print(t); putchar('\n'); return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; }
#ifdef DEBUG
inline ll __lg(ull x){ return 63 - __builtin_clzll(x); }
#define debug(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); }
#else
#define debug(...) void(0)
#endif
int first(bool i = true){ return out(i?"first":"second"); }
int First(bool i = true){ return out(i?"First":"Second"); }
int yes(bool i = true){ return out(i?"yes":"no"); }
int Yes(bool i = true){ return out(i?"Yes":"No"); }
int No(){ return out("No"); }
int YES(bool i = true){ return out(i?"YES":"NO"); }
int NO(){ return out("NO"); }
int Yay(bool i = true){ return out(i?"Yay!":":("); }
int possible(bool i = true){ return out(i?"possible":"impossible"); }
int Possible(bool i = true){ return out(i?"Possible":"Impossible"); }
int POSSIBLE(bool i = true){ return out(i?"POSSIBLE":"IMPOSSIBLE"); }
void Case(ll i){ printf("Case #%lld: ", i); }

#define fi first
#define se second
#define rng(a) a.begin(), a.end()
#define chmax(x, y) (x = max(x, y))
#define chmin(x, y) (x = min(x, y))
// #define uni(x) x.erase(unique(rng(x)),x.end())
// #define snuke srand((unsigned)clock()+(unsigned)time(NULL));

#define pque priority_queue
#define removeerase(x) x.erase(remove(rng(x), 0), x.end());
void debug_out() { std::cerr << std::endl; }
template <typename Head, typename... Tail> void debug_out(Head h, Tail... t) {
  std::cerr << " " << h;
  if (sizeof...(t) > 0)
    std::cout << " :";
  debug_out(t...);
}

// constexpr uint mod = MODD;
// struct Modint{
//     uint num = 0;
//     constexpr Modint() noexcept {}
//     constexpr Modint(const Modint &x) noexcept : num(x.num){}
//     inline constexpr operator ll() const noexcept { return num; }
//     inline constexpr Modint& operator+=(Modint x) noexcept { num += x.num; if(num >= mod) num -= mod; return *this; }
//     inline constexpr Modint& operator++() noexcept { if(num == mod - 1) num = 0; else num++; return *this; }
    // inline constexpr Modint operator++(int) noexcept { Modint ans(*this); operator++(); return ans; }
    // inline constexpr Modint operator-() const noexcept { return Modint(0) -= *this; }
//     inline constexpr Modint& operator-=(Modint x) noexcept { if(num < x.num) num += mod; num -= x.num; return *this; }
    // inline constexpr Modint& operator--() noexcept { if(num == 0) num = mod - 1; else num--; return *this; }
    // inline constexpr Modint operator--(int) noexcept { Modint ans(*this); operator--(); return ans; }
//     inline constexpr Modint& operator*=(Modint x) noexcept { num = ull(num) * x.num % mod; return *this; }
//     inline constexpr Modint& operator/=(Modint x) noexcept { return operator*=(x.inv()); }
//     template<class T> constexpr Modint(T x) noexcept {
//         using U = typename conditional<sizeof(T) >= 4, T, int>::type;
//         U y = x; y %= U(mod); if(y < 0) y += mod; num = uint(y);
//     }
//     template<class T> inline constexpr Modint operator+(T x) const noexcept { return Modint(*this) += x; }
//     template<class T> inline constexpr Modint& operator+=(T x) noexcept { return operator+=(Modint(x)); }
//     template<class T> inline constexpr Modint operator-(T x) const noexcept { return Modint(*this) -= x; }
//     template<class T> inline constexpr Modint& operator-=(T x) noexcept { return operator-=(Modint(x)); }
//     template<class T> inline constexpr Modint operator*(T x) const noexcept { return Modint(*this) *= x; }
//     template<class T> inline constexpr Modint& operator*=(T x) noexcept { return operator*=(Modint(x)); }
//     template<class T> inline constexpr Modint operator/(T x) const noexcept { return Modint(*this) /= x; }
//     template<class T> inline constexpr Modint& operator/=(T x) noexcept { return operator/=(Modint(x)); }
//     inline constexpr Modint inv() const noexcept { ll x = 0, y = 0; extgcd(num, mod, x, y); return x; }
//     static inline constexpr ll extgcd(ll a, ll b, ll &x, ll &y) noexcept { ll g = a; x = 1; y = 0; if(b){ g = extgcd(b, a % b, y, x); y -= a / b * x; } return g; }
//     inline constexpr Modint pow(ull x) const noexcept { Modint ans = 1, cnt = *this; while(x){ if(x & 1) ans *= cnt; cnt *= cnt; x /= 2; } return ans; }
// };
constexpr uint mod = MODD;
struct Modint {
  uint num = 0;
  constexpr Modint() noexcept {}
  constexpr Modint(const Modint &x) noexcept : num(x.num) {}
  inline constexpr operator ll() const noexcept { return num; }
  inline constexpr Modint& operator+=(Modint x) noexcept {num += x.num; if (num >= mod) num -= mod; return *this; }
  inline constexpr Modint& operator-=(Modint x) noexcept { if (num < x.num) num += mod; num -= x.num; return *this; }
  inline constexpr Modint& operator*=(Modint x) noexcept { num = ull(num) * x.num % mod; return *this; }
  inline constexpr Modint& operator/=(Modint x) noexcept { return operator*=(x.inv()); }
  inline constexpr Modint& operator++() noexcept { if(num == mod - 1) num = 0; else num++; return *this; }
  inline constexpr Modint operator++(int) noexcept { Modint ans(*this); operator++(); return ans; }
  inline constexpr Modint& operator--() noexcept { if(num == 0) num = mod - 1; else num--; return *this; }
  inline constexpr Modint operator--(int) noexcept { Modint ans(*this); operator--(); return ans; }
  inline constexpr Modint operator-() const noexcept { return Modint(0) -= *this; }
  template<class T> constexpr Modint(T x) noexcept {
    using U = typename conditional<sizeof(T) >= 4, T, int>::type;
    U y = x; y %= U(mod); if(y < 0) y += mod; num = uint(y);
  }
  template<class T> inline constexpr Modint operator+(T x) const noexcept { return Modint(*this) += x; }
  template<class T> inline constexpr Modint& operator+=(T x) noexcept { return operator+=(Modint(x)); }
  template<class T> inline constexpr Modint operator-(T x) const noexcept { return Modint(*this) -= x; }
  template<class T> inline constexpr Modint& operator-=(T x) noexcept { return operator-=(Modint(x)); }
  template<class T> inline constexpr Modint operator*(T x) const noexcept { return Modint(*this) *= x; }
  template<class T> inline constexpr Modint& operator*=(T x) noexcept { return operator*=(Modint(x)); }
  template<class T> inline constexpr Modint operator/(T x) const noexcept { return Modint(*this) /= x; }
  template<class T> inline constexpr Modint& operator/=(T x) noexcept { return operator/=(Modint(x)); }
  inline constexpr Modint inv() const noexcept { ll x = 0, y = 0; extgcd(num, mod, x, y); return x; }
  static inline constexpr ll extgcd(ll a, ll b, ll &x, ll &y) noexcept { ll g = a; x = 1; y = 0; if(b){ g = extgcd(b, a % b, y, x); y -= a / b * x; } return g; }
  inline constexpr Modint pow(ull x) const noexcept { Modint ans = 1, cnt = *this; while(x){ if(x & 1) ans *= cnt; cnt *= cnt; x /= 2; } return ans; }
};
std::istream& operator>>(std::istream& is, Modint& x){ ll a; in(a); x = a; return is; }
inline constexpr Modint operator""_M(ull x) noexcept { return Modint(x); }
std::vector<Modint> fac(1, 1), inv(1, 1);
inline void reserve(ll a){
    if(fac.size() >= a) return;
    if(a < fac.size() * 2) a = fac.size() * 2;
    if(a >= mod) a = mod;
    while(fac.size() < a) fac.push_back(fac.back() * Modint(fac.size()));
    inv.resize(fac.size());
    inv.back() = fac.back().inv();
    for(ll i = inv.size() - 1; !inv[i - 1]; i--) inv[i - 1] = inv[i] * i;
}
inline Modint fact(ll n){ if(n < 0) return 0; reserve(n + 1); return fac[n]; }
inline Modint perm(ll n, ll r){
    if(r < 0 || n < r) return 0;
    if(n >> 24){ Modint ans = 1; for(ll i = 0; i < r; i++) ans *= n--; return ans; }
    reserve(n + 1); return fac[n] * inv[n - r];
}
inline Modint comb(ll n, ll r){ if(r < 0 || n < r) return 0; reserve(r + 1); return perm(n, r) * inv[r]; }
inline Modint Mcomb(ll n, ll r){ return comb(n + r - 1, n - 1); } // r balls into n boxes
inline Modint catalan(ll n){ reserve(n * 2 + 1); return fac[n * 2] * inv[n] * inv[n + 1]; }

ll gcd(ll a, ll b) {
  if (b)
    return gcd(b, a % b);
  return a;
}
ll lcm(ll a, ll b) { return a * b / gcd(a, b); }
ll extgcd(ll a, ll b, ll &x, ll &y) {
  ll g = a;
  x = 1;
  y = 0;
  if (b) {
    g = extgcd(b, a % b, y, x);
    y -= a / b * x;
  }
  return g;
}

vector<ll> primes(ll n) {
  vec<ll> primes(n);
  for (ll i = 2; i < n; ++i)
    primes[i] = i;
  for (ll i = 2; i * i < n; ++i) {
    if (primes[i])
      for (ll j = i * i; j < n; j += i)
        primes[j] = 0;
  }
  auto p = remove(primes.begin(), primes.end(), 0);
  primes.erase(p, primes.end());
  return primes;
}
// vector<ll> facmod;
// vector<ll> facinvmod;
// ll combination(ll n, ll k, ll mod) {
//   // 階乗やその逆元をメモ化すると速い
//   // でかいやつはnCk/2^Nをパスカルの三角形で作る
//   ll res = fac(n, mod);
//   res = (res * invmod(fac(k, mod), mod)) % mod;
//   res = (res * invmod(fac(n - k, mod), mod)) % mod;
//   return res;
// }
// x % m[i] = r[i] % m[i] を満たす正で最小の x を返す
// i!=j に対して gcd(m[i], m[j])=1 であると仮定
// とりあえず解の存在判定は保留
// ll garner(vector<ll> r, vector<ll> m) {
//   int n = r.size();
//   ll m_prod = 1;      // m_prod には m[i] の積を入れていく
//   ll x = r[0] % m[0]; // 最初の条件を満たすような x の初期値
//   for (int i = 1; i < n; i++) {
//     // cout << r[i-1] << " " << m[i-1] << " " << x << endl;
//     m_prod *= m[i - 1]; // m の累積積を更新
//     ll t = ((r[i] - x) * invmod(m_prod, m[i])) % m[i];
//     if (t < 0)
//       t += m[i];
//     x += t * m_prod; // x を更新
//   }
//   return x;
// }
// false: composite, true: probably prime
// bool MillarRabin_sub(ll n, ll random) {
// 	ll d = n-1;
// 	while(d % 2 == 0) {
// // 		d /= 2;
// 		cout << random << " " << powmod(random, d, n) << endl;
// 		if (powmod(random, d, n) == n-1) {
// 			return true;
// 		}
// 	}
// 	if (powmod(random, d, n) == 1) return true;
// 	return false;
// }
// bool MillarRabin(ll n) {
// 	random_device rd{};
// 	vector<uint32_t> vec(20);
// 	generate(vec.begin(), vec.end(), ref(rd));
// 	mt19937 mt(seed_seq(vec.begin(), vec.end()));
// 	bool ret = true;
// 	rep(i,0,20) {
// 		vec[i] %= n; if (vec[i] == 0) continue;
// 		cout << MillarRabin_sub(n, random) << endl;
// 		if (!MillarRabin_sub(n, random)) return false;
// 	}
// 	return true;
// }

// 逆順になる reverse(rng(ans));
// vector<ll> G[100000];
// cout << fixed << setprecision(15) << y << endl;
// cout << bitset<20>(i) << endl;
// fill(distance[0], distance[row], INF);
// __builtin_popcount()
// stoi(S[j], 0, 2)
// for (ll i = 0;i < (ll)s.size() - k;i++)
// ll dp[桁数][未満フラグ][条件を満たしているか]
// stoi stoll
// bit全探索 n進数全探索
// while (t > 0) cc += t % 9, t /= 9;
// priority_queue<ll> que; que.push(3); que.top(); que.pop();
// rep(i,C)rep(j,C) if(i != j) rep(k,C) if(i != k && j != k)
// 始点終点をデータに含ませる
// memory restriction RE -> CE
// forr 逆順ループsnippet
// 座標 上下の回数さえ分かれば組合せ問題
// set 順序付き集合 distance(set.begin(), itr)でオフセットがわかる
// set s : for(int x : s) for(int y : s) for(int z : s)
// const int di[4] = {-1, 0, 1, 0};
// const int dj[4] = {0, -1, 0, 1};
// const string let = "ULDR";
// 逆順ソートsort(cand.rbegin(), cand.rend());
// int ok = 0, ng = 1e9+1;
// auto check = [&](int x) -> bool {
// 	set<int> s;
// 	rep(i,0,N) {
// 		int tmp = 0;
// 		rep(j,0,5) {
// 			if (A[i][j] >= x) tmp |= 1 << j;
// 		}
// 		s.insert(tmp);
// 	}
// 	for (int x : s) for (int y : s) for (int z : s) {
// 		if ((x | y | z) == 31) return true;
// 	}
// 	return false;
// };

// while(abs(ok - ng) > 1) {
// 	int mid = (ok + ng) / 2;
// 	if (check(mid)) ok = mid;
// 	else ng = mid;
// }
// cout << ok << endl;
// dp[500][500] はllではなくintにすること
// chmin/chmaxは型をあわせないといけない
// priority_queue 最上位以外アクセス許可していない
// priority_queue<l_l, vector<l_l>, greater<l_l>>
// multiset イテレータ書き込み出来ない

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);

  LL(n);
  Modint ans = 1;
  each(p, primes(n)) {
    ll mx = 0;
    rep(i,p,n,p) {
      ll x = i, y = n-i, cnt = 0;
      // cout << x << " " << y << endl;
      while(x % p == 0) {
        x /= p;
        cnt++;
      }
      while(y % p == 0) {
        y /= p;
        cnt++;
      }
      chmax(mx, cnt);
    }
    ans *= Modint(p).pow(mx);
  }
  cout << ans << endl;

  return 0;
}
0