結果

問題 No.2829 GCD Divination
ユーザー siganaisiganai
提出日時 2024-08-02 21:41:13
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 41 ms / 2,000 ms
コード長 6,086 bytes
コンパイル時間 2,364 ms
コンパイル使用メモリ 216,272 KB
実行使用メモリ 81,592 KB
最終ジャッジ日時 2024-08-02 21:41:18
合計ジャッジ時間 3,838 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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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 2 ms
6,816 KB
testcase_01 AC 2 ms
6,944 KB
testcase_02 AC 23 ms
81,592 KB
testcase_03 AC 2 ms
6,940 KB
testcase_04 AC 23 ms
81,552 KB
testcase_05 AC 41 ms
70,896 KB
testcase_06 AC 34 ms
59,824 KB
testcase_07 AC 31 ms
54,168 KB
testcase_08 AC 25 ms
37,280 KB
testcase_09 AC 21 ms
31,664 KB
testcase_10 AC 13 ms
46,884 KB
testcase_11 AC 3 ms
6,940 KB
testcase_12 AC 7 ms
17,528 KB
testcase_13 AC 20 ms
73,184 KB
testcase_14 AC 14 ms
50,288 KB
testcase_15 AC 12 ms
37,256 KB
testcase_16 AC 8 ms
19,256 KB
testcase_17 AC 6 ms
11,936 KB
testcase_18 AC 4 ms
9,660 KB
testcase_19 AC 5 ms
14,504 KB
testcase_20 AC 2 ms
6,944 KB
testcase_21 AC 10 ms
31,716 KB
testcase_22 AC 11 ms
37,756 KB
testcase_23 AC 13 ms
44,120 KB
testcase_24 AC 18 ms
64,872 KB
testcase_25 AC 22 ms
79,132 KB
testcase_26 AC 12 ms
35,232 KB
testcase_27 AC 17 ms
59,480 KB
testcase_28 AC 5 ms
14,876 KB
testcase_29 AC 11 ms
37,812 KB
testcase_30 AC 20 ms
76,216 KB
testcase_31 AC 4 ms
12,012 KB
testcase_32 AC 13 ms
45,900 KB
testcase_33 AC 11 ms
33,816 KB
testcase_34 AC 16 ms
59,220 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 # 

#line 1 "main.cpp"
#include<bits/stdc++.h>
//#pragma GCC target("avx,avx2")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#ifdef LOCAL
#include <debug.hpp>
#define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (static_cast<void>(0))
#endif
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll,ll>;
using pii = pair<int,int>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vul = vector<ull>;
using vpii = vector<pii>;
using vvpii = vector<vpii>;
using vpll = vector<pll>;
using vs = vector<string>;
template<class T> using pq = priority_queue<T,vector<T>, greater<T>>;
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload3(a,b,c,name,...) name
#define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER)
#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) - 1;i >= 0;i--)
#define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--)
#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 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 sum(...) accumulate(all(__VA_ARGS__),0LL)
template<class T> bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; }
template<class T> bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; }
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... Ts> void in(Ts&... t);
#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)
#define LL(...) ll __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 VEC(type, name, size) vector<type> name(size); in(name)
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)
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; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
bool is_clamp(ll val,ll low,ll high) {return low <= val && val < high;}
void Yes() {cout << "Yes\n";return;}
void No() {cout << "No\n";return;}
void YES() {cout << "YES\n";return;}
void NO() {cout << "NO\n";return;}
template <typename T>
T floor(T a, T b) {return a / b - (a % b && (a ^ b) < 0);}
template <typename T>
T ceil(T x, T y) {return floor(x + y - 1, y);}
template <typename T>
T bmod(T x, T y) {return x - y * floor(x, y);}
template <typename T>
pair<T, T> divmod(T x, T y) {T q = floor(x, y);return {q, x - q * y};}
namespace IO{
#define VOID(a) decltype(void(a))
struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(15);}} setting;
template<int I> struct P : P<I-1>{};
template<> struct P<0>{};
template<class T> void i(T& t){ i(t, P<3>{}); }
void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }
template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }
template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }
template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){in(get<idx>(t)...);}
template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){ituple(t, make_index_sequence<tuple_size<T>::value>{});} 
#undef VOID
}
#define unpack(a) (void)initializer_list<int>{(a, 0)...}
template<class... Ts> void in(Ts&... t){ unpack(IO :: i(t)); }
#undef unpack
constexpr long double PI = 3.141592653589793238462643383279L;
template <class F> struct REC {
    F f;
    REC(F &&f_) : f(forward<F>(f_)) {}
    template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); }};

constexpr int mod = 998244353;
//constexpr int mod = 1000000007;
#line 2 "library/math/factorize.hpp"
vector<pair<long long,int>> prime_factorization(long long n) {
    vector<pair<long long,int>> ret;
    int c = 0;
    while(n % 2 == 0) {
        c++;
        n >>= 1;
    }
    if(c) ret.emplace_back(2,c);
    for(long long i = 3; i * i <= n; i += 2) {
        c = 0;
        while(n % i == 0) {
            n /= i;
            c++;
        }
        if(c) ret.emplace_back(i,c);
    }
    if (n != 1) ret.emplace_back(n,1);
    return ret;
}
vector<long long> divisor(long long n) {
    vector<long long> ret;
    for(long long i = 1; i * i <= n; i++) {
        if (n % i == 0) {
            ret.push_back(i);
            if(i * i != n) {ret.push_back(n / i);}
        }
    }
    sort(ret.begin(),ret.end());
    return ret;
}
#line 99 "main.cpp"
int main() {
    INT(n);
    vector<double> memo(n+1);
    auto dfs = REC([&](auto &&f,int val) -> double {
        if(memo[val] != 0) {
            return memo[val];
        }
        if(val == 1) return 0;
        auto d = divisor(val);
        vi cnt(d.size());
        rrep(i,d.size()) {
            cnt[i] = val / d[i];
            rep(j,i+1,d.size()) {
                if(d[j] % d[i] == 0) cnt[i] -= cnt[j];
            }
        }
        debug(val);
        double su = 0;
        rep(i,(int)d.size()-1) {
            su += cnt[i] * f(d[i]);
        }
        debug(su,cnt);
        su /= val;
        su += 1;
        debug(su);
        su *= (double)val / (val - 1);
        return memo[val] = su;
    });
    auto ans = dfs(n);
    cout << ans << '\n';
}
0