結果

問題 No.2718 Best Consonance
ユーザー 👑 rin204rin204
提出日時 2024-04-07 12:02:35
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,200 ms / 4,000 ms
コード長 12,889 bytes
コンパイル時間 3,890 ms
コンパイル使用メモリ 276,680 KB
実行使用メモリ 61,724 KB
最終ジャッジ日時 2024-10-02 13:00:40
合計ジャッジ時間 23,782 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 5 ms
9,484 KB
testcase_01 AC 5 ms
9,440 KB
testcase_02 AC 6 ms
9,532 KB
testcase_03 AC 6 ms
9,496 KB
testcase_04 AC 7 ms
9,496 KB
testcase_05 AC 6 ms
9,340 KB
testcase_06 AC 5 ms
9,436 KB
testcase_07 AC 6 ms
9,424 KB
testcase_08 AC 6 ms
9,440 KB
testcase_09 AC 8 ms
9,564 KB
testcase_10 AC 8 ms
9,576 KB
testcase_11 AC 9 ms
9,604 KB
testcase_12 AC 9 ms
9,708 KB
testcase_13 AC 8 ms
9,588 KB
testcase_14 AC 743 ms
40,812 KB
testcase_15 AC 628 ms
35,992 KB
testcase_16 AC 668 ms
37,328 KB
testcase_17 AC 559 ms
33,176 KB
testcase_18 AC 697 ms
38,584 KB
testcase_19 AC 615 ms
35,648 KB
testcase_20 AC 746 ms
40,956 KB
testcase_21 AC 720 ms
39,888 KB
testcase_22 AC 750 ms
40,000 KB
testcase_23 AC 512 ms
31,396 KB
testcase_24 AC 1,157 ms
60,768 KB
testcase_25 AC 1,164 ms
60,952 KB
testcase_26 AC 1,175 ms
60,736 KB
testcase_27 AC 1,166 ms
60,888 KB
testcase_28 AC 1,173 ms
61,724 KB
testcase_29 AC 1,180 ms
60,764 KB
testcase_30 AC 1,166 ms
60,736 KB
testcase_31 AC 1,180 ms
60,720 KB
testcase_32 AC 1,200 ms
61,368 KB
testcase_33 AC 1,186 ms
61,096 KB
testcase_34 AC 6 ms
9,640 KB
testcase_35 AC 7 ms
9,456 KB
testcase_36 AC 44 ms
9,400 KB
testcase_37 AC 7 ms
9,504 KB
testcase_38 AC 45 ms
9,564 KB
testcase_39 AC 5 ms
9,496 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 # 

// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
// #define INTERACTIVE

namespace templates {
// type
using ll  = long long;
using ull = unsigned long long;
using Pii = pair<int, int>;
using Pil = pair<int, ll>;
using Pli = pair<ll, int>;
using Pll = pair<ll, ll>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
// clang-format off
#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__)));
// clang-format on

// for loop
#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__)

// declare and input
// clang-format off
#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 DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#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);
// clang-format on

// const value
const ll MOD1   = 1000000007;
const ll MOD9   = 998244353;
const double PI = acos(-1);

// other macro
#if !defined(RIN__LOCAL) && !defined(INTERACTIVE)
#define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)

// function
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;
}
string ctos(vector<char> &S) {
    int n      = S.size();
    string ret = "";
    for (int i = 0; i < n; i++) ret += S[i];
    return ret;
}

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);
}

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;
}

// input and output
namespace io {
// __int128_t
std::ostream &operator<<(std::ostream &dest, __int128_t value) {
    std::ostream::sentry s(dest);
    if (s) {
        __uint128_t tmp = value < 0 ? -value : value;
        char buffer[128];
        char *d = std::end(buffer);
        do {
            --d;
            *d = "0123456789"[tmp % 10];
            tmp /= 10;
        } while (tmp != 0);
        if (value < 0) {
            --d;
            *d = '-';
        }
        int len = std::end(buffer) - d;
        if (dest.rdbuf()->sputn(d, len) != len) {
            dest.setstate(std::ios_base::badbit);
        }
    }
    return dest;
}

// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << ' ';
    }
    return os;
}

// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
    is >> A.first >> A.second;
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
    os << A.first << ' ' << A.second;
    return os;
}

// vector<pair<S, T>>
template <typename S, typename T>
istream &operator>>(istream &is, vector<pair<S, T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        is >> A[i];
    }
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// tuple
template <typename T, size_t N>
struct TuplePrint {
    static ostream &print(ostream &os, const T &t) {
        TuplePrint<T, N - 1>::print(os, t);
        os << ' ' << get<N - 1>(t);
        return os;
    }
};
template <typename T>
struct TuplePrint<T, 1> {
    static ostream &print(ostream &os, const T &t) {
        os << get<0>(t);
        return os;
    }
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
    TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
    return os;
}

// io functions
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(std::forward<Tail>(tail)...);
}

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 prispa(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);
}

} // namespace io
using namespace io;

// read graph
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 = long long>
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 = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
    return read_wedges<T>(n, n - 1, false, indexed);
}

// yes / no
namespace yesno {

// yes
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;
}

// no
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;
}

// possible
inline bool possible(bool f = true) {
    cout << (f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Possible(bool f = true) {
    cout << (f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool POSSIBLE(bool f = true) {
    cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// impossible
inline bool impossible(bool f = true) {
    cout << (!f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Impossible(bool f = true) {
    cout << (!f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool IMPOSSIBLE(bool f = true) {
    cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// Alice Bob
inline bool Alice(bool f = true) {
    cout << (f ? "Alice" : "Bob") << endl;
    return f;
}
inline bool Bob(bool f = true) {
    cout << (f ? "Bob" : "Alice") << endl;
    return f;
}

// Takahashi Aoki
inline bool Takahashi(bool f = true) {
    cout << (f ? "Takahashi" : "Aoki") << endl;
    return f;
}
inline bool Aoki(bool f = true) {
    cout << (f ? "Aoki" : "Takahashi") << endl;
    return f;
}

} // namespace yesno
using namespace yesno;

} // namespace templates
using namespace templates;

template <typename T, typename S>
T modpow(T a, S b, T MOD) {
    T ret = 1;
    while (b > 0) {
        if (b & 1) {
            ret *= a;
            ret %= MOD;
        }
        a *= a;
        a %= MOD;
        b >>= 1;
    }
    return ret;
}

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;
}

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 = std::gcd(y - x + N, N);
            if (p == 0 || p == N) break;
            if (p != 1) return p;
            x = f(x);
            y = f(f(y));
        }
    }
}

std::vector<long long> primefact(long long N) {
    if (N == 1) return {};
    long long p = pollard(N);
    if (p == N) return {p};
    std::vector<long long> left  = primefact(p);
    std::vector<long long> right = primefact(N / p);
    left.insert(left.end(), right.begin(), right.end());
    std::sort(left.begin(), left.end());
    return left;
}

std::vector<long long> divisors(long long n) {
    if (n == 1) return {1};
    auto primes                = primefact(n);
    std::vector<long long> ret = {1};
    primes.push_back(0);
    long long bef = primes[0];
    int row       = 0;
    for (auto p : primes) {
        if (p == bef)
            row++;
        else {
            int l = ret.size();
            for (int i = 0; i < l; i++) {
                long long d = ret[i];
                for (int j = 0; j < row; j++) {
                    d *= bef;
                    ret.push_back(d);
                }
            }
            bef = p;
            row = 1;
        }
    }
    std::sort(ret.begin(), ret.end());
    return ret;
}

void solve() {
    INT(n);
    const int M = 200100;
    vvec(Pll, G, M, 0);
    vec(ll, ma, M, 0);
    ll ans = 0;
    fori(n) {
        LL(a, b);
        if (ma[a] != 0) {
            ll x = min(b, ma[a]);
            chmax(ans, x);
        }
        chmax(ma[a], b);
    }
    fori(a, M) {
        if (ma[a] == 0) continue;
        ll b = ma[a];
        for (auto d : divisors(a)) {
            G[d].push_back({a / d, b});
        }
    }
    fori(a, M) {
        if (len(G[a]) <= 1) continue;
        sort(all(G[a]), [&](Pll x, Pll y) { return x.first * x.second > y.first * y.second; });
        ll mi = G[a][0].first;
        fori(i, 1, len(G[a])) {
            chmax(ans, G[a][i].second / mi);
            chmin(mi, G[a][i].first);
        }
    }
    print(ans);
}

int main() {
#ifndef INTERACTIVE
    cin.tie(0)->sync_with_stdio(0);
#endif
    // cout << fixed << setprecision(12);
    int t;
    t = 1;
    // cin >> t;
    while (t--) solve();
    return 0;
}
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