結果

問題 No.2379 Burnside's Theorem
ユーザー 👑 rin204
提出日時 2023-07-14 21:21:13
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 10,312 bytes
コンパイル時間 3,327 ms
コンパイル使用メモリ 265,368 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-09-16 06:05:02
合計ジャッジ時間 3,923 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
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 * 4
other AC * 20
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

// start A.cpp
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll  = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) A.size()
#define all(A) begin(A), end(A)
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)
vector<char> stoc(string &S) {
    int n = S.size();
    vector<char> ret(n);
    for (int i = 0; i < n; i++) ret[i] = S[i];
    return ret;
}
#define INT(...)                                                                                                                                     
                                                      \
    int __VA_ARGS__;                                                                                                                                 
                                                          \
    inp(__VA_ARGS__);
#define LL(...)                                                                                                                                      
                                                      \
    ll __VA_ARGS__;                                                                                                                                  
                                                          \
    inp(__VA_ARGS__);
#define STRING(...)                                                                                                                                  
                                                      \
    string __VA_ARGS__;                                                                                                                              
                                                          \
    inp(__VA_ARGS__);
#define CHAR(...)                                                                                                                                    
                                                      \
    char __VA_ARGS__;                                                                                                                                
                                                          \
    inp(__VA_ARGS__);
#define VEC(T, A, n)                                                                                                                                 
                                                      \
    vector<T> A(n);                                                                                                                                  
                                                          \
    inp(A);
#define VVEC(T, A, n, m)                                                                                                                             
                                                      \
    vector<vector<T>> A(n, vector<T>(m));                                                                                                            
                                                          \
    inp(A);
const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;
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));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
    return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
    return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
    return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
    auto b = clamp(a, l, r);
    return (a != b ? a = b, 1 : 0);
}
void FLUSH() {
    cout << flush;
}
void print() {
    cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
    cout << head;
    if (sizeof...(Tail)) cout << spa;
    print(forward<Tail>(tail)...);
}
template <typename T>
void print(vector<T> &A) {
    int n = A.size();
    for (int i = 0; i < n; i++) {
        cout << A[i];
        if (i != n - 1) cout << ' ';
    }
    cout << endl;
}
template <typename T>
void print(vector<vector<T>> &A) {
    for (auto &row : A) print(row);
}
template <typename T, typename S>
void print(pair<T, S> &A) {
    cout << A.first << spa << A.second << endl;
}
template <typename T, typename S>
void print(vector<pair<T, S>> &A) {
    for (auto &row : A) print(row);
}
template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
    int n = A.size();
    for (int i = 0; i < n; i++) {
        cout << A[i];
        if (i != n - 1) cout << sep;
    }
    cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
    cout << A << end;
}
template <typename T>
void priend(T A) {
    priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
    if (f)
        print(A);
    else
        print(B);
    return f;
}
template <class... T>
void inp(T &...a) {
    (cin >> ... >> a);
}
template <typename T>
void inp(vector<T> &A) {
    for (auto &a : A) cin >> a;
}
template <typename T>
void inp(vector<vector<T>> &A) {
    for (auto &row : A) inp(row);
}
template <typename T, typename S>
void inp(pair<T, S> &A) {
    inp(A.first, A.second);
}
template <typename T, typename S>
void inp(vector<pair<T, S>> &A) {
    for (auto &row : A) inp(row.first, row.second);
}
template <typename T>
T sum(vector<T> &A) {
    T tot = 0;
    for (auto a : A) tot += a;
    return tot;
}
template <typename T>
vector<T> compression(vector<T> X) {
    sort(all(X));
    X.erase(unique(all(X)), X.end());
    return X;
}
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<int>> edges(n, vector<int>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        u -= indexed;
        v -= indexed;
        edges[u].push_back(v);
        if (!direct) edges[v].push_back(u);
    }
    return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
    return read_edges(n, n - 1, false, indexed);
}
template <typename T>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        T w;
        inp(w);
        u -= indexed;
        v -= indexed;
        edges[u].push_back({v, w});
        if (!direct) edges[v].push_back({u, w});
    }
    return edges;
}
template <typename T>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
    return read_wedges<T>(n, n - 1, false, indexed);
}
inline bool yes(bool f = true) {
    cout << (f ? "yes" : "no") << endl;
    return f;
}
inline bool Yes(bool f = true) {
    cout << (f ? "Yes" : "No") << endl;
    return f;
}
inline bool YES(bool f = true) {
    cout << (f ? "YES" : "NO") << endl;
    return f;
}
inline bool no(bool f = true) {
    cout << (!f ? "yes" : "no") << endl;
    return f;
}
inline bool No(bool f = true) {
    cout << (!f ? "Yes" : "No") << endl;
    return f;
}
inline bool NO(bool f = true) {
    cout << (!f ? "YES" : "NO") << endl;
    return f;
}
// start math/pollard_rho.hpp
// start math/millerRabin.hpp
// start math/modpow.hpp
template <typename T>
T modpow(T a, long long b, T MOD) {
    T ret = 1;
    while (b > 0) {
        if (b & 1) {
            ret *= a;
            ret %= MOD;
        }
        a *= a;
        a %= MOD;
        b >>= 1;
    }
    return ret;
}
// end math/modpow.hpp
// restart math/millerRabin.hpp
bool isPrime(long long n) {
    if (n <= 1)
        return false;
    else if (n == 2)
        return true;
    else if (n % 2 == 0)
        return false;
    long long A[7] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022};
    long long s    = 0;
    long long d    = n - 1;
    while (d % 2 == 0) {
        d /= 2;
        s++;
    }
    for (auto a : A) {
        if (a % n == 0) return true;
        long long x = modpow<__int128_t>(a, d, n);
        if (x != 1) {
            bool ng = true;
            for (int i = 0; i < s; i++) {
                if (x == n - 1) {
                    ng = false;
                    break;
                };
                x = __int128_t(x) * x % n;
            }
            if (ng) return false;
        }
    }
    return true;
}
// end math/millerRabin.hpp
// restart math/pollard_rho.hpp
long long pollard(long long N) {
    if (N % 2 == 0) return 2;
    if (isPrime(N)) return N;
    long long step = 0;
    auto f         = [&](long long x) -> long long { return (__int128_t(x) * x + step) % N; };
    while (true) {
        ++step;
        long long x = step, y = f(x);
        while (true) {
            long long p = gcd(y - x + N, N);
            if (p == 0 || p == N) break;
            if (p != 1) return p;
            x = f(x);
            y = f(f(y));
        }
    }
}
vector<long long> primefact(long long N) {
    if (N == 1) return {};
    long long p = pollard(N);
    if (p == N) return {p};
    vector<long long> left  = primefact(p);
    vector<long long> right = primefact(N / p);
    left.insert(left.end(), right.begin(), right.end());
    sort(left.begin(), left.end());
    return left;
}
// end math/pollard_rho.hpp
// restart A.cpp
void solve() {
    LL(n);
    auto res = primefact(n);
    set<ll> se;
    for (auto d : res) se.insert(d);
    Yes(len(se) <= 2);
}
int main() {
    cin.tie(0)->sync_with_stdio(0);
    // cout << fixed << setprecision(12);
    int t;
    t = 1;
    // cin >> t;
    while (t--) solve();
    return 0;
}
// end A.cpp
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