#422253 (C++14) No.144 エラトステネスのざる

• 問題: No.144 エラトステネスのざる
• ユーザー: haruki_K
• 提出日時: 2020-01-28 22:24:57
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 648 ms / 2,000 ms
• コード長: 5,231 bytes
• コンパイル時間: 1,830 ms
• コンパイル使用メモリ: 176,744 KB
• 実行使用メモリ: 36,600 KB
• 最終ジャッジ日時: 2024-09-15 16:25:55
• 合計ジャッジ時間: 7,853 ms
• ジャッジサーバーID （参考情報）: judge2 / judge1

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	66 ms; 36,600 KB
testcase_01	AC	65 ms; 36,600 KB
testcase_02	AC	66 ms; 36,472 KB
testcase_03	AC	63 ms; 36,472 KB
testcase_04	AC	65 ms; 36,468 KB
testcase_05	AC	66 ms; 36,600 KB
testcase_06	AC	67 ms; 36,600 KB
testcase_07	AC	67 ms; 36,472 KB
testcase_08	AC	63 ms; 36,596 KB
testcase_09	AC	64 ms; 36,536 KB
testcase_10	AC	67 ms; 36,600 KB
testcase_11	AC	64 ms; 36,600 KB
testcase_12	AC	66 ms; 36,600 KB
testcase_13	AC	648 ms; 36,472 KB
testcase_14	AC	648 ms; 36,596 KB
testcase_15	AC	630 ms; 36,472 KB
testcase_16	AC	626 ms; 36,596 KB
testcase_17	AC	634 ms; 36,596 KB
testcase_18	AC	638 ms; 36,476 KB
testcase_19	AC	402 ms; 36,600 KB

ソースコード

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define int ll
#define double ld
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define rep1(i,n) for (int i = 1; i <= (int)(n); i++)
#define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i,n) for (int i = (int)(n); i >= 1; i--)
#define loop(i,a,B) for (int i = a; i B; i++)
#define loopR(i,a,B) for (int i = a; i B; i--)
#define all(x) (x).begin(), (x).end()
#define allR(x) (x).rbegin(), (x).rend()
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fst first
#define snd second
#define INF (numeric_limits<int>::max()/2-1)
#ifdef LOCAL
#include "debug.hpp"
#define dump(...) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] ", dump_impl(#__VA_ARGS__, __VA_ARGS__)
#define say(x) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] " << x << endl
#define debug if (1)
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T> using pque_max = priority_queue<T>;
template <class T> using pque_min = priority_queue<T, vector<T>, greater<T> >;
template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type>
ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &v) { for (auto& x : v) is >> x; return is; }
template <class T, class S> istream& operator>>(istream& is, pair<T,S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint {
    template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); }
};
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T,d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T,d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T,0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T,d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T,d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T> constexpr bool chmin(T& x, T const& y) { if (x > y) { x = y; return true; } return false; }
template <class T> constexpr bool chmax(T& x, T const& y) { if (x < y) { x = y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b,e,typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) {
    return lower_bound(v.begin(), v.end(), x)-v.begin();
}
template <class C, class T> int ubd(C const& v, T const& x) {
    return upper_bound(v.begin(), v.end(), x)-v.begin();
}
// <<<
// >>> sieve
namespace Sieve {
    constexpr int MAX = 2e6;
    vector<int> ps, pf, mu; // primes, min prime factor, mebius
    auto sieve_init = [](){
        pf.resize(MAX+1);
        iota(pf.begin(), pf.end(), 0);
        mu.resize(MAX+1,-1);
        mu[1] = 1;
        for (int i = 2; i <= MAX; ++i) {
            if (pf[i] == i) ps.push_back(i);
            for (int p : ps) {
                const int x = p*i;
                if (p > pf[i] || x > MAX) break;
                pf[x] = p;
                mu[x] = -mu[i];
                if (i%p == 0) mu[x] = 0;
            }
        }
        return 0;
    }();
    bool is_prime(int n) {
        assert(0 <= n); assert(n <= MAX);
        return pf[n] == n && n >= 2;
    }
    vector<pair<int,int> > prime_factor(int n) {
        assert(0 <= n); assert(n <= MAX);
        vector<pair<int,int> > ret;
        while (n > 1) {
            int p = pf[n], i = 0;
            while (pf[n] == p) ++i, n /= p;
            ret.emplace_back(p,i);
        }
        return ret;
    }
    vector<int> divisors(int n) {
        assert(0 <= n); assert(n <= MAX);
        vector<int> ret = {1};
        for (auto p : prime_factor(n)) {
            int m = ret.size();
            for (int i = 0; i < m; ++i) {
                for (int j = 0, v = 1;  j < p.second; ++j) {
                    v *= p.first;
                    ret.push_back(ret[i]*v);
                }
            }
        }
        return ret;
    }
}
using namespace Sieve;
// <<<

int32_t main() {
    int n; cin >> n;
    double p; cin >> p;

    double ans = 0;
    loop (x,2,<=n) {
        ans += pow(1-p, divisors(x).size()-2);
    }

    cout << ans << endl;

}