結果

問題 No.719 Coprime
ユーザー haruki_Kharuki_K
提出日時 2020-03-14 19:29:45
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 14 ms / 3,000 ms
コード長 6,113 bytes
コンパイル時間 1,757 ms
コンパイル使用メモリ 179,876 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-05-03 01:28:26
合計ジャッジ時間 3,644 ms
ジャッジサーバーID
(参考情報)
judge5 / 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 4 ms
6,816 KB
testcase_01 AC 4 ms
6,940 KB
testcase_02 AC 4 ms
6,940 KB
testcase_03 AC 4 ms
6,944 KB
testcase_04 AC 4 ms
6,940 KB
testcase_05 AC 4 ms
6,944 KB
testcase_06 AC 4 ms
6,944 KB
testcase_07 AC 4 ms
6,940 KB
testcase_08 AC 4 ms
6,940 KB
testcase_09 AC 4 ms
6,940 KB
testcase_10 AC 3 ms
6,944 KB
testcase_11 AC 4 ms
6,940 KB
testcase_12 AC 4 ms
6,940 KB
testcase_13 AC 4 ms
6,940 KB
testcase_14 AC 4 ms
6,940 KB
testcase_15 AC 4 ms
6,940 KB
testcase_16 AC 3 ms
6,944 KB
testcase_17 AC 3 ms
6,940 KB
testcase_18 AC 4 ms
6,944 KB
testcase_19 AC 4 ms
6,940 KB
testcase_20 AC 5 ms
6,944 KB
testcase_21 AC 4 ms
6,940 KB
testcase_22 AC 5 ms
6,940 KB
testcase_23 AC 5 ms
6,940 KB
testcase_24 AC 4 ms
6,944 KB
testcase_25 AC 4 ms
6,944 KB
testcase_26 AC 5 ms
6,940 KB
testcase_27 AC 4 ms
6,940 KB
testcase_28 AC 5 ms
6,940 KB
testcase_29 AC 5 ms
6,944 KB
testcase_30 AC 5 ms
6,944 KB
testcase_31 AC 4 ms
6,944 KB
testcase_32 AC 4 ms
6,940 KB
testcase_33 AC 5 ms
6,944 KB
testcase_34 AC 4 ms
6,940 KB
testcase_35 AC 3 ms
6,940 KB
testcase_36 AC 4 ms
6,940 KB
testcase_37 AC 5 ms
6,944 KB
testcase_38 AC 4 ms
6,940 KB
testcase_39 AC 4 ms
6,944 KB
testcase_40 AC 4 ms
6,940 KB
testcase_41 AC 4 ms
6,944 KB
testcase_42 AC 4 ms
6,940 KB
testcase_43 AC 4 ms
6,940 KB
testcase_44 AC 4 ms
6,940 KB
testcase_45 AC 3 ms
6,944 KB
testcase_46 AC 3 ms
6,940 KB
testcase_47 AC 5 ms
6,944 KB
testcase_48 AC 4 ms
6,944 KB
testcase_49 AC 4 ms
6,944 KB
testcase_50 AC 4 ms
6,940 KB
testcase_51 AC 4 ms
6,940 KB
testcase_52 AC 4 ms
6,940 KB
testcase_53 AC 4 ms
6,944 KB
testcase_54 AC 5 ms
6,940 KB
testcase_55 AC 7 ms
6,940 KB
testcase_56 AC 11 ms
6,940 KB
testcase_57 AC 11 ms
6,944 KB
testcase_58 AC 14 ms
6,944 KB
testcase_59 AC 14 ms
6,940 KB
testcase_60 AC 14 ms
6,944 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 #

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
#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
auto constexpr INF32 = numeric_limits<int32_t>::max()/2-1;
auto constexpr INF64 = numeric_limits<int64_t>::max()/2-1;
auto constexpr INF   = numeric_limits<int>::max()/2-1;
#ifdef LOCAL
#include "debug.hpp"
#define dump(...) cerr << "[" << setw(3) << __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();
}
template <class C, class F> int ppt(C const& v, F f) {
    return partition_point(v.begin(), v.end(), f)-v.begin();
}
// <<<
// >>> sieve

namespace Sieve {
    constexpr int MAX = 1e5;
    vector<int> ps, pf, mu; // primes, min prime factor, moebius
    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;

    int k = 0;
    while (ps[k]*ps[k] <= n) ++k;
    dump(k);

    vector<int> mask(n+1), max_pf(n+1);
    rep (x,n+1) rep (i,k) if (x%ps[i] == 0) mask[x] ^= 1LL<<i;
    rep (p,n+1) if (is_prime(p)) {
        for (int x = p; x <= n; x += p) {
            chmax(max_pf[x], p);
        }
    }

    vector<int> dp(1LL<<k), tmp(1LL<<k);
    for (int i = 0; ps[i] <= n; ++i) {
        tmp = dp;
        rep (bit,1LL<<k) {
            for (int x = ps[i]; x <= n; x += ps[i]) {
                if (max_pf[x] <= ps[i] && (mask[x]&bit) == 0) {
                    chmax(tmp[mask[x]|bit], dp[bit] + x);
                }
            }
        }
        swap(tmp,dp);
        dump(ps[i],dp);
    }
    cout << dp[(1LL<<k)-1] << endl;

}
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