結果

問題 No.2829 GCD Divination
ユーザー coindarwcoindarw
提出日時 2024-08-02 21:54:31
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 10 ms / 2,000 ms
コード長 6,880 bytes
コンパイル時間 5,372 ms
コンパイル使用メモリ 320,320 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-08-02 21:54:38
合計ジャッジ時間 6,990 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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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
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 10 ms
5,376 KB
testcase_06 AC 10 ms
5,376 KB
testcase_07 AC 9 ms
5,376 KB
testcase_08 AC 8 ms
5,376 KB
testcase_09 AC 8 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 1 ms
5,376 KB
testcase_12 AC 2 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 2 ms
5,376 KB
testcase_15 AC 2 ms
5,376 KB
testcase_16 AC 2 ms
5,376 KB
testcase_17 AC 2 ms
5,376 KB
testcase_18 AC 2 ms
5,376 KB
testcase_19 AC 2 ms
5,376 KB
testcase_20 AC 2 ms
5,376 KB
testcase_21 AC 2 ms
5,376 KB
testcase_22 AC 2 ms
5,376 KB
testcase_23 AC 2 ms
5,376 KB
testcase_24 AC 2 ms
5,376 KB
testcase_25 AC 2 ms
5,376 KB
testcase_26 AC 2 ms
5,376 KB
testcase_27 AC 2 ms
5,376 KB
testcase_28 AC 2 ms
5,376 KB
testcase_29 AC 1 ms
5,376 KB
testcase_30 AC 2 ms
5,376 KB
testcase_31 AC 2 ms
5,376 KB
testcase_32 AC 2 ms
5,376 KB
testcase_33 AC 2 ms
5,376 KB
testcase_34 AC 2 ms
5,376 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 # 

#ifdef ONLINE_JUDGE
#include <bits/stdc++.h>

#include <atcoder/all>
#else
#include <mylibs/all.h>
#endif

using ll = long long;
using lll = __int128_t;
#define rep(i, n) for (int i = 0, i##_len = (n); i < i##_len; ++i)
#define reps(i, n) for (int i = 1, i##_len = (n); i <= i##_len; ++i)
#define rrep(i, n) for (int i = ((int)(n)-1); i >= 0; --i)
#define rreps(i, n) for (int i = ((int)(n)); i > 0; --i)
#define rep2(i, s, n) for (int i = (s); i < (int)(n); i++)
#define repc2(i, s, n) for (int i = (s); i <= (int)(n); i++)
#define length(v) ((int)(v).size())
constexpr int inf = 2'000'000'000;
constexpr ll linf = 4'000'000'000'000'000'000, M7 = 1'000'000'007, M9 = 998'244'353;
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
using namespace std;
using namespace atcoder;

// clang-format off
using vint = vector<int>;using vvint = vector<vector<int>>;using vvvint = vector<vector<vector<int>>>;
using vll = vector<ll>;using vvll = vector<vector<ll>>;using vvvll = vector<vector<vector<ll>>>;
using vlll = vector<lll>;using vvlll = vector<vector<lll>>;using vvvlll = vector<vector<vector<lll>>>;
using vchar = vector<char>;using vvchar = vector<vector<char>>;using vvvchar = vector<vector<vector<char>>>;
using vstr = vector<string>;using vvstr = vector<vector<string>>;using vvvstr = vector<vector<vector<string>>>;
using vpi = vector<pair<int, int>>;using vvpi = vector<vector<pair<int, int>>>;using vvpint = vector<vector<pair<int, int>>>;
using vpl = vector<pair<ll, ll>>;using vvpl = vector<vector<pair<ll, ll>>>;using vvplint = vector<vector<pair<ll, int>>>;
using vbool = vector<bool>;using vvbool = vector<vector<bool>>;using vvvbool = vector<vector<vector<bool>>>;

#define Vec(type, ...) __make_vec<type>(__VA_ARGS__)
template <class T> vector<T> __make_vec(size_t a) {return vector<T>(a);}template <class T, class... Ts>
auto __make_vec(size_t a, Ts... ts) {return vector<decltype(__make_vec<T>(ts...))>(a, __make_vec<T>(ts...));}
#define VecI(init, type, ...) __make_vecI<type, init>(__VA_ARGS__)
template <class T, T init>vector<T> __make_vecI(size_t a) {return vector<T>(a, init);}
template <class T, T init, class... Ts>
auto __make_vecI(size_t a, Ts... ts) {return vector<decltype(__make_vecI<T, init>(ts...))>(a, __make_vecI<T, init>(ts...));}

template <typename T, typename U>inline ostream& operator<<(ostream& os, const pair<T, U>& p) noexcept {return os << p.first << " " << p.second;}
inline ostream& operator<<(ostream& os, const modint& m) noexcept { return os << m.val(); }
template <int M>inline ostream& operator<<(ostream& os, const static_modint<M>& m) noexcept { return os << m.val(); }

template <typename T> struct is_static_modint : std::false_type {}; template <int MOD> struct is_static_modint<static_modint<MOD>> : std::true_type {};
template <template <typename...> typename C, typename Number>concept MyContainer = std::is_same_v<C<Number>, std::vector<Number>> || std::is_same_v<C<Number>, std::deque<Number>> || std::is_same_v<C<Number>, std::set<Number>> || std::is_same_v<C<Number>, std::unordered_set<Number>> || std::is_same_v<C<Number>, std::unordered_multiset<Number>> || std::is_same_v<C<Number>, std::multiset<Number>>;
template <typename Number>concept MyNumber = std::is_same_v<Number, int> || std::is_same_v<Number, ll> || std::is_same_v<Number, char> || std::is_same_v<Number, modint> || is_static_modint<Number>::value;
template <template <typename...> typename C, typename Number>concept MyContainerNumber = MyContainer<C, Number> && MyNumber<Number>;
template <template <typename...> typename OutCon, template <typename...> typename InCon, typename Number>concept MyNestedContainerNumber = MyContainer<OutCon, InCon<Number>> && MyContainerNumber<InCon, Number>;
template <template <typename...> typename C, typename Number>requires MyContainerNumber<C, Number>std::ostream& operator<<(std::ostream& os, const C<Number>& t) {auto itr = t.begin();auto end = t.end();if (itr != end) {os << *itr++;for (; itr != end; ++itr) os << ' ' << *itr;}return os;}
template <template <typename...> typename OutCon, template <typename...> typename InCon, typename Number>requires MyNestedContainerNumber<OutCon, InCon, Number>std::ostream& operator<<(std::ostream& os, const OutCon<InCon<Number>>& t) {auto itr = t.begin();auto end = t.end();if (itr != end) {os << *itr++;for (; itr != end; ++itr) os << '\n' << *itr;}return os;}
template <typename T, typename U>istream& operator>>(istream& is, pair<T, U>& p) {return is >> p.first >> p.second;}
template <typename T>istream& operator>>(istream& is, vector<T>& v) {for (auto& e : v) is >> e;return is;}
void inp() {}
template <typename T, typename... Args>void inp(T& a, Args&... args) {cin >> a, inp(args...);}
template <typename T>void inp1(vector<T>& v, int offset = 1, int len = -1) {if (len == -1) len = int(v.size()) - offset;assert(offset >= 0 && len >= 0);for (int i = offset; i < offset + len; ++i) cin >> v[i];}
template <typename T>void oup(const T& a) {cout << a << "\n";}
template <typename T, typename... Args>void oup(const T& a, const Args&... args) {cout << a << " ", oup(args...);}

inline string YesNo(bool cond) { return cond ? "Yes" : "No"; }
inline auto add1(auto vec, ll offset = 1) {for (auto& e : vec) e += offset;return vec;}
#ifdef ONLINE_JUDGE
#define debug(...)
#else
#define debug(...) cerr << "<" << #__VA_ARGS__ << ">: ", debug_out(__VA_ARGS__)
template <typename T>void debug_out(T t) {cerr << t << "\n";}
template <typename T, typename... Args>void debug_out(T t, Args... args) {cerr << t << ", ";debug_out(args...);}
#endif

#ifdef ONLINE_JUDGE
#define todo(...) static_assert(false)
#else
#define todo(...)
#endif
// clang-format on

vector<ll> divisor(ll n) {
    vector<ll> res;
    for (ll i = 1; i * i <= n; i++) {
        if (n % i == 0) {
            res.push_back(i);
            if (n / i != i) res.push_back(n / i);
        }
    }
    sort(res.begin(), res.end());
    return res;
}
ll totient(ll n) {
    ll res = n;
    for (ll i = 2; i * i <= n; i++) {
        if (n % i == 0) {
            res -= res / i;
            while (n % i == 0) n /= i;
        }
    }
    if (n > 1) res -= res / n;
    return res;
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    ll n;
    inp(n);
    auto divs = divisor(n);
    map<ll, double> mp;
    auto rec = [&](auto rec, ll x) -> double {
        if (mp.contains(x)) return mp[x];
        if (x == 1) return 0;
        int cnt = 0;
        double res = 0;
        for (ll g : divs) {
            if (x % g == 0 && g < x) {
                ll phi = totient(x / g);
                res += (rec(rec, g) + 1) * phi / x;
                cnt += phi;
            }
        }
        res += 1 / double(x);
        res *= double(x) / (x - 1);  // g=n
        return mp[x] = res;
    };
    cout << fixed << setprecision(20);
    oup(rec(rec, n));
    return 0;
}
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