結果

問題 No.1529 Constant Lcm
ユーザー oliverx3
提出日時 2021-06-04 21:39:28
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,079 ms / 3,000 ms
コード長 7,197 bytes
コンパイル時間 3,759 ms
コンパイル使用メモリ 257,808 KB
最終ジャッジ日時 2025-01-22 00:24:40
ジャッジサーバーID
（参考情報） 		judge4 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 24
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 #
プレゼンテーションモードにする

/**
*    author:  oliverx3
*    created: 04.06.2021 21:16:37
**/
#include <bits/stdc++.h>
#if __has_include(<atcoder/all>)
#include <atcoder/all>
#endif
#pragma region header
#pragma region alias
using lint = long long;
using ll = long long;
using P = std::pair<int,int>;
template<class T> using prique = std::priority_queue<T,std::vector<T>,std::greater<T>>;
#pragma endregion
#pragma region macros
#define rep(i, n) for(int i = 0;i<(int)(n);i++)
#define REP(i, m, n) for(int i = (m);i<(int)(n);i++)
#define drep(i, n) for(int i = (n)-1;i>=0;i--)
#define DREP(i, m, n) for(int i = (m)-1;i>=(int)(n);i--)
#define all(v) (v).begin(),(v).end()
#define reall(v) (v).rbegin(),(v).rend()
template<class T, class U>
bool chmax(T& a,const U b) {
    if(a < b) {
        a = b;
        return true;
    }
    return false;
}
template<class T, class U>
bool chmin(T& a,const U b) {
    if(a>b) {
        a = b;
        return true;
    }
    return false;
}
bool is_flag(const long long &bit, const int &k) { return (bit >> k)&1; }
#pragma endregion
#pragma region constant
constexpr int inf = 1<<30;
constexpr long long INF = 1LL << 61;
constexpr long double eps = 1e-10;
constexpr long double pi = 3.141592653589793238;
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 long mod = 1e9+7;
constexpr long long MOD = 998244353;
#pragma endregion
#pragma region inout
template<class T>
std::ostream& operator<<(std::ostream& stream, const std::vector<T>& v) {
    for(int i = 0; i < (int)(v.size()); i++) {
        stream << v[i];
        if(i != (int)(v.size()) - 1) stream << ' ';
    }
    return stream;
}
template<typename Itr>
inline void print(const Itr& begin, const Itr& end, bool endline = true, const char* BEGIN = "{", const char* mid = ", ", const char* END = "}") {
    if(begin == end) return;
    std::cout << BEGIN << *begin;
    for(Itr itr = begin+1; itr < end; itr++) std::cout << mid << *itr;
    std::cout << END;
    if(endline) std::endl(std::cout);
    return;
}
template<class T>
std::istream& operator>>(std::istream& stream, std::vector<T>& v) {
    for(T& p:v) stream >> p;
    return stream;
}
template<typename Itr>
inline void input(Itr begin, Itr end) {
    for(Itr& itr = begin; itr < end; itr++) std::cin >> *itr;
    return;
}
template<class T, class U>
std::ostream& operator<<(std::ostream& stream, const std::pair<T,U>& pair) {
    return stream << pair.first << ' ' << pair.second;
}
template<class T, class U>
inline void print(const std::pair<T,U>& pair,const bool endline = true, const char* begin = "(", const char* mid = ", ", const char* end = ")") {
    std::cout << begin << pair.first << mid << pair.second << end;
    if(endline) std::endl(std::cout);
    else std::cout << ' ';
    return;
}
template<class T, class U>
std::istream& operator>>(std::istream& stream, std::pair<T,U>& pair) {
    return stream >> pair.first >> pair.second;
}
template<class T, class U>
inline void input(std::pair<T,U>& pair, const bool first = true, const bool second = true) {
    if(first) std::cin >> pair.first;
    if(second) std::cin >> pair.second;
}
#pragma endregion
#pragma region DEBUG
#ifdef _DEBUG
template<class T>
inline void _debug_view(const T& x) noexcept {
    std::cout << x;
    return;
}
template<class T, class U>
inline void _debug_view(const std::pair<T,U>& p) noexcept {
    std::cout << "(";
    _debug_view(p.first);
    std::cout << ", ";
    _debug_view(p.second);
    std::cout << ")";
    return;
}
template<class T>
inline void _debug_view(const std::vector<T>& v) noexcept {
    std::cout << "{";
    for(int i = 0;i<v.size();i++) {
        _debug_view(v[i]);
        std::cout << (i+1 == v.size() ? "" : ", ");
    }
    std::cout << "}";
    return;
}
template<class T, class U>
inline void _debug_view(const std::map<T,U>& mp) noexcept {
    std::cout << "{";
    for(auto itr = mp.begin(); itr != mp.end(); itr++) {
        _debug_view(*itr);
        if(std::next(itr) != mp.end()) std::cout << ", ";
    }
    std::cout << "}";
    return;
}
template<class T> 
inline void _debug_view(const std::set<T>& st) noexcept {
    std::cout << "{";
    for(auto itr = st.begin(); itr != st.end(); itr++) {
        _debug_view(*itr);
        if(std::next(itr) != st.end()) std::cout << ", ";
    }
    std::cout << "}";
    return;
}
#define overload5(_1,_2,_3,_4,_5,name,...) name
#define _debug1(a) {\
    do {\
        std::cout << #a << ": ";\
        _debug_view(a);\
        std::endl(std::cout);\
    }while(0);\
}
#define _debug2(a,b) {\
    do {\
        std::cout << #a << ": ";\
        _debug_view(a);\
        std::cout << ", " << #b << ": ";\
        _debug_view(b);\
        std::endl(std::cout);\
    }while(0);\
}
#define _debug3(a,b,c) {\
    do {\
        std::cout << #a << ": ";\
        _debug_view(a);\
        std::cout << ", " << #b << ": ";\
        _debug_view(b);\
        std::cout << ", " << #c << ": ";\
        _debug_view(c);\
        std::endl(std::cout);\
    }while(0);\
}
#define _debug4(a,b,c,d) {\
    do {\
        std::cout << #a << ": ";\
        _debug_view(a);\
        std::cout << ", " << #b << ": ";\
        _debug_view(b);\
        std::cout << ", " << #c << ": ";\
        _debug_view(c);\
        std::cout << ", " << #d << ": ";\
        _debug_view(d);\
        std::endl(std::cout);\
    }while(0);\
}
#define _debug5(a,b,c,d,e) {\
    do {\
        std::cout << #a << ": ";\
        _debug_view(a);\
        std::cout << ", " << #b << ": ";\
        _debug_view(b);\
        std::cout << ", " << #c << ": ";\
        _debug_view(c);\
        std::cout << ", " << #d << ": ";\
        _debug_view(d);\
        std::cout << ", " << #e << ": ";\
        _debug_view(e);\
        std::endl(std::cout);\
    }while(0);\
}
#define debug(...) overload5(__VA_ARGS__,_debug5,_debug4,_debug3,_debug2,_debug1,)(__VA_ARGS__)
#else
#define debug(...)
#endif
#pragma endregion
#pragma endregion
using mint = atcoder::modint998244353;
long long mod_pow(long long n, long long k, const long long mod_ = 998244353) {
    long long res = 1;
    while(k) {
        if(k&1) {
            res*=n;
            res%=mod_;
        }
        n*=n;
        n%=mod_;
        k>>=1;
    }
    return res;
}
int sieve[1000010];
std::map<int, int> fast_prime_fact(int n) {
    std::map<int, int> res;
    while(sieve[n] != -1) {
        res[sieve[n]]++;
        n /= sieve[n];
    }
    return res;
}
int main() {
    sieve[1] = -1;
    for(int i = 2; i <= 1000005; i++) {
        if(sieve[i] != 0) continue;
        sieve[i] = i;
        for(int j = i*2; j <= 1000005; j+=i) {
            sieve[j] = i;
        }
    }
    int n;
    std::cin >> n;
    
    std::map<int, int> mp;
    for(int i = 1; i <= n-1; i++) {
        std::map<int, int> fac;
        for(const auto &p:fast_prime_fact(i)) fac[p.first] += p.second;
        for(const auto &p:fast_prime_fact(n-i)) fac[p.first] += p.second;
        for(const auto &p:fac) chmax(mp[p.first], p.second);
    }
    mint ans = 1;
    for(const auto &p:mp) ans *= mod_pow(p.first, p.second);
    std::cout << ans.val() << std::endl;
    return 0;
}
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