#1089729 (C++23) No.3179 3 time mod

提出ソース
結果

問題	No.3179 3 time mod
ユーザー	kk2a
提出日時	2025-06-04 02:34:06
言語	C++23 (gcc 13.3.0 + boost 1.87.0)
結果	AC
実行時間	2 ms / 2,000 ms
コード長	17,202 bytes
コンパイル時間	1,321 ms
コンパイル使用メモリ	138,316 KB
実行使用メモリ	7,848 KB
最終ジャッジ日時	2025-06-14 01:38:14
合計ジャッジ時間	2,801 ms
ジャッジサーバーID （参考情報）	judge1 / judge5
このコードへのチャレンジ
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ファイルパターン	結果
sample	AC * 2
other	AC * 42
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ソースコード

raw source code
#include <unordered_map>
#include <type_traits>
#include <unordered_set>
#include <iostream>
#include <fstream>
#include <istream>
#include <stack>
#include <functional>
#include <deque>
#include <string>
#include <numeric>
#include <bitset>
#include <algorithm>
#include <cassert>
#include <iomanip>
#include <iterator>
#include <utility>
#include <array>
#include <queue>
#include <set>
#include <vector>
#include <ostream>
#include <map>
#include <optional>

#ifndef KK2_TEMPLATE_PROCON_HPP
#define KK2_TEMPLATE_PROCON_HPP 1


#ifndef KK2_TEMPLATE_CONSTANT_HPP
#define KK2_TEMPLATE_CONSTANT_HPP 1

#ifndef KK2_TEMPLATE_TYPE_ALIAS_HPP
#define KK2_TEMPLATE_TYPE_ALIAS_HPP 1


using u32 = unsigned int;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;

using pi = std::pair<int, int>;
using pl = std::pair<i64, i64>;
using pil = std::pair<int, i64>;
using pli = std::pair<i64, int>;

template <class T> using vc = std::vector<T>;
template <class T> using vvc = std::vector<vc<T>>;
template <class T> using vvvc = std::vector<vvc<T>>;
template <class T> using vvvvc = std::vector<vvvc<T>>;

template <class T> using pq = std::priority_queue<T>;
template <class T> using pqi = std::priority_queue<T, std::vector<T>, std::greater<T>>;

#endif // KK2_TEMPLATE_TYPE_ALIAS_HPP

template <class T> constexpr T infty = 0;
template <> constexpr int infty<int> = (1 << 30) - 123;
template <> constexpr i64 infty<i64> = (1ll << 62) - (1ll << 31);
template <> constexpr i128 infty<i128> = (i128(1) << 126) - (i128(1) << 63);
template <> constexpr u32 infty<u32> = infty<int>;
template <> constexpr u64 infty<u64> = infty<i64>;
template <> constexpr u128 infty<u128> = infty<i128>;
template <> constexpr double infty<double> = infty<i64>;
template <> constexpr long double infty<long double> = infty<i64>;

constexpr int mod = 998244353;
constexpr int modu = 1e9 + 7;
constexpr long double PI = 3.14159265358979323846;

#endif // KK2_TEMPLATE_CONSTANT_HPP
#ifndef KK2_TEMPLATE_FUNCTION_UTIL_HPP
#define KK2_TEMPLATE_FUNCTION_UTIL_HPP 1


#ifndef KK2_MATH_MONOID_MAX_HPP
#define KK2_MATH_MONOID_MAX_HPP 1


#ifndef KK2_TYPE_TRAITS_IO_HPP
#define KK2_TYPE_TRAITS_IO_HPP 1



namespace kk2 {

namespace type_traits {

struct istream_tag {};
struct ostream_tag {};

} // namespace type_traits

template <typename T> using is_standard_istream =
    typename std::conditional<std::is_same<T, std::istream>::value
                                  || std::is_same<T, std::ifstream>::value,
                              std::true_type,
                              std::false_type>::type;
template <typename T> using is_standard_ostream =
    typename std::conditional<std::is_same<T, std::ostream>::value
                                  || std::is_same<T, std::ofstream>::value,
                              std::true_type,
                              std::false_type>::type;
template <typename T> using is_user_defined_istream = std::is_base_of<type_traits::istream_tag, T>;
template <typename T> using is_user_defined_ostream = std::is_base_of<type_traits::ostream_tag, T>;

template <typename T> using is_istream =
    typename std::conditional<is_standard_istream<T>::value || is_user_defined_istream<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <typename T> using is_ostream =
    typename std::conditional<is_standard_ostream<T>::value || is_user_defined_ostream<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <typename T> using is_istream_t = std::enable_if_t<is_istream<T>::value>;
template <typename T> using is_ostream_t = std::enable_if_t<is_ostream<T>::value>;

} // namespace kk2

#endif // KK2_TYPE_TRAITS_IO_HPP

namespace kk2 {

namespace monoid {

template <class S, class Compare = std::less<S>> struct Max {
    static constexpr bool commutative = true;
    using M = Max;
    S a;
    bool is_unit;

    Max() : a(S()), is_unit(true) {}
    Max(S a_) : a(a_), is_unit(false) {}
    operator S() const { return a; }

    inline static M op(M l, M r) {
        if (l.is_unit or r.is_unit) return l.is_unit ? r : l;
        return Compare{}(l.a, r.a) ? r : l;
    }

    inline static M unit() { return M(); }

    bool operator==(const M &rhs) const {
        return is_unit == rhs.is_unit and (is_unit or a == rhs.a);
    }

    bool operator!=(const M &rhs) const {
        return is_unit != rhs.is_unit or (!is_unit and a != rhs.a);
    }

    template <class OStream, is_ostream_t<OStream> * = nullptr>
    friend OStream &operator<<(OStream &os, const M &x) {
        if (x.is_unit) os << "-inf";
        else os << x.a;
        return os;
    }

    template <class IStream, is_istream_t<IStream> * = nullptr>
    friend IStream &operator>>(IStream &is, M &x) {
        is >> x.a;
        x.is_unit = false;
        return is;
    }
};

} // namespace monoid

} // namespace kk2

#endif // MATH_MONOID_MAX_HPP
#ifndef KK2_MATH_MONOID_MIN_HPP
#define KK2_MATH_MONOID_MIN_HPP 1



namespace kk2 {

namespace monoid {

template <class S, class Compare = std::less<S>> struct Min {
    static constexpr bool commutative = true;
    using M = Min;
    S a;
    bool is_unit;

    Min() : a(S()), is_unit(true) {}
    Min(S a_) : a(a_), is_unit(false) {}
    operator S() const { return a; }

    inline static M op(M l, M r) {
        if (l.is_unit or r.is_unit) return l.is_unit ? r : l;
        return Compare{}(l.a, r.a) ? l : r;
    }

    inline static M unit() { return M(); }

    bool operator==(const M &rhs) const {
        return is_unit == rhs.is_unit and (is_unit or a == rhs.a);
    }

    bool operator!=(const M &rhs) const {
        return is_unit != rhs.is_unit or (!is_unit and a != rhs.a);
    }

    template <class OStream, is_ostream_t<OStream> * = nullptr>
    friend OStream &operator<<(OStream &os, const M &x) {
        if (x.is_unit) os << "inf";
        else os << x.a;
        return os;
    }

    template <class IStream, is_istream_t<IStream> * = nullptr>
    friend IStream &operator>>(IStream &is, M &x) {
        is >> x.a;
        x.is_unit = false;
        return is;
    }
};

} // namespace monoid

} // namespace kk2

#endif // KK2_MATH_MONOID_MIN_HPP
#ifndef KK2_TYPE_TRAITS_CONTAINER_TRAITS_HPP
#define KK2_TYPE_TRAITS_CONTAINER_TRAITS_HPP 1



namespace kk2 {

template <typename T> struct is_vector : std::false_type {};
template <typename T, typename Alloc> struct is_vector<std::vector<T, Alloc>> : std::true_type {};

} // namespace kk2

#endif // KK2_TYPE_TRAITS_CONTAINER_TRAITS_HPP

namespace kk2 {

template <class T, class... Sizes> auto make_vector(int first, Sizes... sizes) {
    if constexpr (sizeof...(sizes) == 0) {
        return std::vector<T>(first);
    } else {
        return std::vector<decltype(make_vector<T>(sizes...))>(first, make_vector<T>(sizes...));
    }
}

template <class T, class U> void fill_all(std::vector<T> &v, const U &x) {
    if constexpr (is_vector<T>::value) {
        for (auto &u : v) fill_all(u, x);
    } else {
        std::fill(v.begin(), v.end(), T(x));
    }
}

template <class T, class U> int iota_all(std::vector<T> &v, U x, int offset = 0) {
    if constexpr (is_vector<T>::value) {
        for (auto &u : v) offset += iota_all(u, x + offset);
    } else {
        for (auto &u : v) u = x++, ++offset;
    }
    return offset;
}

template <class C> int mysize(const C &c) { return size(c); }


// T: commutative monoid, F: (U, T) -> U
template <class U, class T, class F>
U all_monoid_prod(const std::vector<T> &v, U unit, const F &f) {
    U res = unit;
    if constexpr (is_vector<T>::value) {
        for (const auto &x : v) res = f(res, all_monoid_prod(x, unit, f));
    } else {
        for (const auto &x : v) res = f(res, x);
    }
    return res;
}

template <class U, class T> U all_sum(const std::vector<T> &v, U unit = U()) {
    return all_monoid_prod<U, T>(v, unit, [](U a, U b) { return a + b; });
}
template <class U, class T> U all_prod(const std::vector<T> &v, U unit = U(1)) {
    return all_monoid_prod<U, T>(v, unit, [](U a, U b) { return a * b; });
}
template <class U, class T> U all_xor(const std::vector<T> &v, U unit = U()) {
    return all_monoid_prod<U, T>(v, unit, [](U a, U b) { return a ^ b; });
}
template <class U, class T> U all_and(const std::vector<T> &v, U unit = U(-1)) {
    return all_monoid_prod<U, T>(v, unit, [](U a, U b) { return a & b; });
}
template <class U, class T> U all_or(const std::vector<T> &v, U unit = U()) {
    return all_monoid_prod<U, T>(v, unit, [](U a, U b) { return a | b; });
}
template <class U, class T> U all_min(const std::vector<T> &v) {
    return all_monoid_prod<monoid::Min<U>, T>(v, monoid::Min<U>::unit(), monoid::Min<U>::op);
}
template <class U, class T> U all_max(const std::vector<T> &v) {
    return all_monoid_prod<monoid::Max<U>, T>(v, monoid::Max<U>::unit(), monoid::Max<U>::op);
}
template <class U, class T> U all_gcd(const std::vector<T> &v, U unit = U()) {
    return all_monoid_prod<U, T>(v, unit, [](U a, U b) { return std::gcd(a, b); });
}
template <class U, class T> U all_lcm(const std::vector<T> &v, U unit = U(1)) {
    return all_monoid_prod<U, T>(v, unit, [](U a, U b) { return std::lcm(a, b); });
}

} // namespace kk2

#endif // KK2_TEMPLATE_FUNCTION_UTIL_HPP
#ifndef KK2_TEMPLATE_IO_UTIL_HPP
#define KK2_TEMPLATE_IO_UTIL_HPP 1



// なんかoj verifyはプロトタイプ宣言が落ちる

namespace impl {

struct read {
    template <class IStream, class T> inline static void all_read(IStream &is, T &x) { is >> x; }

    template <class IStream, class T, class U>
    inline static void all_read(IStream &is, std::pair<T, U> &p) {
        all_read(is, p.first);
        all_read(is, p.second);
    }

    template <class IStream, class T> inline static void all_read(IStream &is, std::vector<T> &v) {
        for (T &x : v) all_read(is, x);
    }

    template <class IStream, class T, size_t F>
    inline static void all_read(IStream &is, std::array<T, F> &a) {
        for (T &x : a) all_read(is, x);
    }
};

struct write {
    template <class OStream, class T> inline static void all_write(OStream &os, const T &x) {
        os << x;
    }

    template <class OStream, class T, class U>
    inline static void all_write(OStream &os, const std::pair<T, U> &p) {
        all_write(os, p.first);
        all_write(os, ' ');
        all_write(os, p.second);
    }

    template <class OStream, class T>
    inline static void all_write(OStream &os, const std::vector<T> &v) {
        for (int i = 0; i < (int)v.size(); ++i) {
            if (i) all_write(os, ' ');
            all_write(os, v[i]);
        }
    }

    template <class OStream, class T, size_t F>
    inline static void all_write(OStream &os, const std::array<T, F> &a) {
        for (int i = 0; i < (int)F; ++i) {
            if (i) all_write(os, ' ');
            all_write(os, a[i]);
        }
    }
};

} // namespace impl

template <class IStream, class T, class U, kk2::is_istream_t<IStream> * = nullptr>
IStream &operator>>(IStream &is, std::pair<T, U> &p) {
    impl::read::all_read(is, p);
    return is;
}

template <class IStream, class T, kk2::is_istream_t<IStream> * = nullptr>
IStream &operator>>(IStream &is, std::vector<T> &v) {
    impl::read::all_read(is, v);
    return is;
}

template <class IStream, class T, size_t F, kk2::is_istream_t<IStream> * = nullptr>
IStream &operator>>(IStream &is, std::array<T, F> &a) {
    impl::read::all_read(is, a);
    return is;
}

template <class OStream, class T, class U, kk2::is_ostream_t<OStream> * = nullptr>
OStream &operator<<(OStream &os, const std::pair<T, U> &p) {
    impl::write::all_write(os, p);
    return os;
}

template <class OStream, class T, kk2::is_ostream_t<OStream> * = nullptr>
OStream &operator<<(OStream &os, const std::vector<T> &v) {
    impl::write::all_write(os, v);
    return os;
}

template <class OStream, class T, size_t F, kk2::is_ostream_t<OStream> * = nullptr>
OStream &operator<<(OStream &os, const std::array<T, F> &a) {
    impl::write::all_write(os, a);
    return os;
}

#endif // KK2_TEMPLATE_IO_UTIL_HPP
#ifndef KK2_TEMPLATE_MACROS_HPP
#define KK2_TEMPLATE_MACROS_HPP 1

#define rep1(a) for (long long _ = 0; _ < (long long)(a); ++_)
#define rep2(i, a) for (long long i = 0; i < (long long)(a); ++i)
#define rep3(i, a, b) for (long long i = (a); i < (long long)(b); ++i)
#define repi2(i, a) for (long long i = (a) - 1; i >= 0; --i)
#define repi3(i, a, b) for (long long i = (a) - 1; i >= (long long)(b); --i)
#define overload3(a, b, c, d, ...) d
#define rep(...) overload3(__VA_ARGS__, rep3, rep2, rep1)(__VA_ARGS__)
#define repi(...) overload3(__VA_ARGS__, repi3, repi2, rep1)(__VA_ARGS__)

#define fi first
#define se second
#define all(p) begin(p), end(p)

#endif // KK2_TEMPLATE_MACROS_HPP

struct FastIOSetUp {
    FastIOSetUp() {
        std::ios::sync_with_stdio(false);
        std::cin.tie(nullptr);
    }
} fast_io_set_up;

auto &kin = std::cin;
auto &kout = std::cout;
auto (*kendl)(std::ostream &) = std::endl<char, std::char_traits<char>>;

void Yes(bool b = 1) { kout << (b ? "Yes\n" : "No\n"); }
void No(bool b = 1) { kout << (b ? "No\n" : "Yes\n"); }
void YES(bool b = 1) { kout << (b ? "YES\n" : "NO\n"); }
void NO(bool b = 1) { kout << (b ? "NO\n" : "YES\n"); }
void yes(bool b = 1) { kout << (b ? "yes\n" : "no\n"); }
void no(bool b = 1) { kout << (b ? "no\n" : "yes\n"); }
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); }

std::istream &operator>>(std::istream &is, u128 &x) {
    std::string s;
    is >> s;
    x = 0;
    for (char c : s) {
        assert('0' <= c && c <= '9');
        x = x * 10 + c - '0';
    }
    return is;
}

std::istream &operator>>(std::istream &is, i128 &x) {
    std::string s;
    is >> s;
    bool neg = s[0] == '-';
    x = 0;
    for (int i = neg; i < (int)s.size(); i++) {
        assert('0' <= s[i] && s[i] <= '9');
        x = x * 10 + s[i] - '0';
    }
    if (neg) x = -x;
    return is;
}

std::ostream &operator<<(std::ostream &os, u128 x) {
    if (x == 0) return os << '0';
    std::string s;
    while (x) {
        s.push_back('0' + x % 10);
        x /= 10;
    }
    std::reverse(s.begin(), s.end());
    return os << s;
}

std::ostream &operator<<(std::ostream &os, i128 x) {
    if (x == 0) return os << '0';
    if (x < 0) {
        os << '-';
        x = -x;
    }
    std::string s;
    while (x) {
        s.push_back('0' + x % 10);
        x /= 10;
    }
    std::reverse(s.begin(), s.end());
    return os << s;
}

#endif // KK2_TEMPLATE_PROCON_HPP
// #include <kk2/template/debug.hpp>
#ifndef KK2_MATH_MOD_GARNER_HPP
#define KK2_MATH_MOD_GARNER_HPP 1


#ifndef KK2_MATH_MOD_INV_HPP
#define KK2_MATH_MOD_INV_HPP 1


namespace kk2 {

// require: modulo >= 1
template <class T> constexpr T mod_inversion(T a, T modulo) {
    a %= modulo;
    if (a < 0) a += modulo;
    T s = modulo, t = a;
    T m0 = 0, m1 = 1;
    while (t) {
        T u = s / t;
        std::swap(s -= t * u, t);
        std::swap(m0 -= m1 * u, m1);
    }
    if (m0 < 0) m0 += modulo;
    return m0;
}

} // namespace kk2

#endif // KK2_MATH_MOD_INV_HPP

namespace kk2 {

template <class T> T garner(const std::vector<T> &d, const std::vector<T> &p) {
    assert(d.size() + 1 == p.size());
    int nm = d.size();
    std::vector<T> kp(nm + 1, 0), rmult(nm + 1, 1);
    for (int ii = 0; ii < nm; ii++) {
        long long x = (d[ii] - kp[ii]) * mod_inversion(rmult[ii], p[ii]) % p[ii];
        if (x < 0) x += p[ii];
        for (int iii = ii + 1; iii < nm + 1; iii++) {
            kp[iii] = (kp[iii] + rmult[iii] * x) % p[iii];
            rmult[iii] = (rmult[iii] * p[ii]) % p[iii];
        }
    }
    return kp[nm];
}

} // namespace kk2

#endif // KK2_MATH_MOD_GARNER_HPP
#ifndef KK2_MATH_FRAC_FLOOR_HPP
#define KK2_MATH_FRAC_FLOOR_HPP 1


namespace kk2 {

// floor(x) = ceil(x) - 1 (for all x not in Z) ...(1)
// floor(x) = -ceil(-x)   (for all x)          ...(2)

// return floor(a / b)
template <typename T, typename U> constexpr T fracfloor(T a, U b) {
    assert(b != 0);
    if (a % b == 0) return a / b;
    if (a >= 0) return a / b;

    // floor(x) = -ceil(-x)      by (2)
    //          = -floor(-x) - 1 by (1)
    return -((-a) / b) - 1;
}

// return ceil(a / b)
template <typename T, typename U> constexpr T fracceil(T a, U b) {
    assert(b != 0);
    if (a % b == 0) return a / b;
    if (a >= 0) return a / b + 1;

    // ceil(x) = -floor(-x)      by (2)
    return -((-a) / b);
}

} // namespace kk2

#endif // KK2_MATH_FRAC_FLOOR_HPP
using namespace std;

void solve() {
    i64 n, p, q, r, a, b, c;
    kin >> n >> p >> q >> r >> a >> b >> c;
    i64 x = kk2::garner<i64>(
        {a, b, c},
        {p, q, r, i64(1e18)}
    );
    kout << kk2::fracfloor(n - x, p * q * r) + 1 << "\n";
}

int main() {
#ifdef KK2
    int t = 2;
#else
    int t = 1;
#endif
    // kin >> t;
    rep (t) solve();

    return 0;
}
// Author: kk2
// converted by https://github.com/kk2a/cpp-bundle
// 2025-06-04 02:33:17
yukicoder

結果

ソースコード
