#1010287 (C++23) No.2891 Mint

提出ソース

結果

問題	No.2891 Mint
ユーザー	nono00
提出日時	2024-09-13 22:51:06
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	718 ms / 2,000 ms
コード長	15,523 bytes
コンパイル時間	2,946 ms
コンパイル使用メモリ	251,520 KB
実行使用メモリ	53,784 KB
最終ジャッジ日時	2024-09-13 22:51:22
合計ジャッジ時間	14,956 ms
ジャッジサーバーID （参考情報）	judge4 / judge5

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 6,812 KB
testcase_01	AC	2 ms 6,820 KB
testcase_02	AC	3 ms 6,820 KB
testcase_03	AC	2 ms 6,944 KB
testcase_04	AC	76 ms 53,784 KB
testcase_05	AC	2 ms 6,944 KB
testcase_06	AC	718 ms 52,964 KB
testcase_07	AC	2 ms 5,376 KB
testcase_08	AC	2 ms 5,376 KB
testcase_09	AC	2 ms 5,376 KB
testcase_10	AC	2 ms 5,376 KB
testcase_11	AC	2 ms 5,376 KB
testcase_12	AC	2 ms 5,376 KB
testcase_13	AC	2 ms 5,376 KB
testcase_14	AC	2 ms 5,376 KB
testcase_15	AC	2 ms 5,376 KB
testcase_16	AC	2 ms 5,376 KB
testcase_17	AC	497 ms 52,452 KB
testcase_18	AC	293 ms 27,752 KB
testcase_19	AC	287 ms 27,876 KB
testcase_20	AC	447 ms 52,452 KB
testcase_21	AC	262 ms 27,876 KB
testcase_22	AC	578 ms 52,452 KB
testcase_23	AC	203 ms 28,000 KB
testcase_24	AC	441 ms 52,576 KB
testcase_25	AC	632 ms 52,640 KB
testcase_26	AC	583 ms 52,580 KB
testcase_27	AC	573 ms 53,384 KB
testcase_28	AC	622 ms 52,580 KB
testcase_29	AC	272 ms 28,004 KB
testcase_30	AC	493 ms 52,604 KB
testcase_31	AC	290 ms 27,876 KB
testcase_32	AC	505 ms 52,580 KB
testcase_33	AC	395 ms 52,584 KB
testcase_34	AC	400 ms 52,580 KB
testcase_35	AC	455 ms 52,576 KB
testcase_36	AC	483 ms 52,580 KB
testcase_37	AC	64 ms 52,584 KB
testcase_38	AC	61 ms 52,584 KB
testcase_39	AC	69 ms 52,580 KB
testcase_40	AC	72 ms 52,580 KB
testcase_41	AC	41 ms 28,000 KB
testcase_42	AC	2 ms 5,376 KB
testcase_43	AC	2 ms 5,376 KB
testcase_44	AC	2 ms 5,376 KB
testcase_45	AC	2 ms 5,376 KB
testcase_46	AC	2 ms 5,376 KB
testcase_47	AC	67 ms 52,452 KB
testcase_48	AC	66 ms 52,584 KB
testcase_49	AC	99 ms 52,584 KB
testcase_50	AC	26 ms 27,872 KB
testcase_51	AC	59 ms 52,576 KB
testcase_52	AC	22 ms 15,716 KB
testcase_53	AC	53 ms 52,564 KB
testcase_54	AC	58 ms 52,584 KB
testcase_55	AC	18 ms 15,536 KB
testcase_56	AC	73 ms 52,576 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

raw source code

#include <bits/stdc++.h>
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <iostream>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace internal {
constexpr long long safe_mod(long long x, long long m) {
    x %= m;
    if (x < 0) x += m;
    return x;
}
struct barrett {
    unsigned int _m;
    unsigned long long im;
    explicit barrett(unsigned int m): _m(m), im((unsigned long long)(-1) / m + 1) {}
    unsigned int umod() const { return _m; }
    unsigned int mul(unsigned int a, unsigned int b) const {
        unsigned long long z = a;
        z *= b;
#ifdef _MSC_VER
        unsigned long long x;
        _umul128(z, im, &x);
#else
        unsigned long long x = (unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
        unsigned long long y = x * _m;
        return (unsigned int)(z - y + (z < y ? _m : 0));
    }
};
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
    if (m == 1) return 0;
    unsigned int _m = (unsigned int)(m);
    unsigned long long r = 1;
    unsigned long long y = safe_mod(x, m);
    while (n) {
        if (n & 1) r = (r * y) % _m;
        y = (y * y) % _m;
        n >>= 1;
    }
    return r;
}
constexpr bool is_prime_constexpr(int n) {
    if (n <= 1) return false;
    if (n == 2 || n == 7 || n == 61) return true;
    if (n % 2 == 0) return false;
    long long d = n - 1;
    while (d % 2 == 0) d /= 2;
    constexpr long long bases[3] = {2, 7, 61};
    for (long long a: bases) {
        long long t = d;
        long long y = pow_mod_constexpr(a, t, n);
        while (t != n - 1 && y != 1 && y != n - 1) {
            y = y * y % n;
            t <<= 1;
        }
        if (y != n - 1 && t % 2 == 0) { return false; }
    }
    return true;
}
template <int n>
constexpr bool is_prime = is_prime_constexpr(n);
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
    a = safe_mod(a, b);
    if (a == 0) return {b, 0};
    long long s = b, t = a;
    long long m0 = 0, m1 = 1;
    while (t) {
        long long u = s / t;
        s -= t * u;
        m0 -= m1 * u;
        auto tmp = s;
        s = t;
        t = tmp;
        tmp = m0;
        m0 = m1;
        m1 = tmp;
    }
    if (m0 < 0) m0 += b / s;
    return {s, m0};
}
constexpr int primitive_root_constexpr(int m) {
    if (m == 2) return 1;
    if (m == 167772161) return 3;
    if (m == 469762049) return 3;
    if (m == 754974721) return 11;
    if (m == 998244353) return 3;
    int divs[20] = {};
    divs[0] = 2;
    int cnt = 1;
    int x = (m - 1) / 2;
    while (x % 2 == 0) x /= 2;
    for (int i = 3; (long long)(i)*i <= x; i += 2) {
        if (x % i == 0) {
            divs[cnt++] = i;
            while (x % i == 0) { x /= i; }
        }
    }
    if (x > 1) { divs[cnt++] = x; }
    for (int g = 2;; g++) {
        bool ok = true;
        for (int i = 0; i < cnt; i++) {
            if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
                ok = false;
                break;
            }
        }
        if (ok) return g;
    }
}
template <int m>
constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
#endif
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <numeric>
#include <type_traits>
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 = typename std::conditional<std::is_same<T, __int128_t>::value ||
        std::is_same<T, __int128>::value,
    std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 = typename std::conditional<std::is_same<T, __uint128_t>::value ||
        std::is_same<T, unsigned __int128>::value,
    std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t, unsigned __int128>;
template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
        is_signed_int128<T>::value || is_unsigned_int128<T>::value,
    std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
    typename std::conditional<(is_integral<T>::value && std::is_signed<T>::value) ||
            is_signed_int128<T>::value,
        std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
    typename std::conditional<(is_integral<T>::value && std::is_unsigned<T>::value) ||
            is_unsigned_int128<T>::value,
        std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<is_signed_int128<T>::value, make_unsigned_int128<T>,
    typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
        std::common_type<T>>::type>::type;
#else
template <class T>
using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int = typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
    std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
    typename std::conditional<is_integral<T>::value && std::is_unsigned<T>::value, std::true_type,
        std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
    std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T>
using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
#endif
namespace internal {
struct modint_base {};
struct static_modint_base: modint_base {};
template <class T>
using is_modint = std::is_base_of<modint_base, T>;
template <class T>
using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)>* = nullptr>
struct static_modint: internal::static_modint_base {
    using mint = static_modint;
   public:
    static constexpr int mod() { return m; }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }
    static_modint(): _v(0) {}
    template <class T, internal::is_signed_int_t<T>* = nullptr>
    static_modint(T v) {
        long long x = (long long)(v % (long long)(umod()));
        if (x < 0) x += umod();
        _v = (unsigned int)(x);
    }
    template <class T, internal::is_unsigned_int_t<T>* = nullptr>
    static_modint(T v) {
        _v = (unsigned int)(v % umod());
    }
    unsigned int val() const { return _v; }
    mint& operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    mint& operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }
    mint& operator+=(const mint& rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator-=(const mint& rhs) {
        _v -= rhs._v;
        if (_v >= umod()) _v += umod();
        return *this;
    }
    mint& operator*=(const mint& rhs) {
        unsigned long long z = _v;
        z *= rhs._v;
        _v = (unsigned int)(z % umod());
        return *this;
    }
    mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }
    mint pow(long long n) const {
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    mint inv() const {
        if (prime) {
            return pow(umod() - 2);
        } else {
            auto eg = internal::inv_gcd(_v, m);
            return eg.second;
        }
    }
    friend mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; }
    friend mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; }
    friend mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; }
    friend mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; }
    friend bool operator==(const mint& lhs, const mint& rhs) { return lhs._v == rhs._v; }
    friend bool operator!=(const mint& lhs, const mint& rhs) { return lhs._v != rhs._v; }
    friend std::istream& operator>>(std::istream& is, mint& v) {
        long long temp;
        is >> temp;
        v = mint(temp);
        return is;
    }
    friend std::ostream& operator<<(std::ostream& os, const mint& v) { return os << v.val(); }
   private:
    unsigned int _v;
    static constexpr unsigned int umod() { return m; }
    static constexpr bool prime = internal::is_prime<m>;
};
template <int id>
struct dynamic_modint: internal::modint_base {
    using mint = dynamic_modint;
   public:
    static int mod() { return (int)(bt.umod()); }
    static void set_mod(int m) { bt = internal::barrett(m); }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }
    dynamic_modint(): _v(0) {}
    template <class T, internal::is_signed_int_t<T>* = nullptr>
    dynamic_modint(T v) {
        long long x = (long long)(v % (long long)(mod()));
        if (x < 0) x += mod();
        _v = (unsigned int)(x);
    }
    template <class T, internal::is_unsigned_int_t<T>* = nullptr>
    dynamic_modint(T v) {
        _v = (unsigned int)(v % mod());
    }
    unsigned int val() const { return _v; }
    mint& operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    mint& operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }
    mint& operator+=(const mint& rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator-=(const mint& rhs) {
        _v += mod() - rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator*=(const mint& rhs) {
        _v = bt.mul(_v, rhs._v);
        return *this;
    }
    mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }
    mint pow(long long n) const {
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    mint inv() const {
        auto eg = internal::inv_gcd(_v, mod());
        return eg.second;
    }
    friend mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; }
    friend mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; }
    friend mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; }
    friend mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; }
    friend bool operator==(const mint& lhs, const mint& rhs) { return lhs._v == rhs._v; }
    friend bool operator!=(const mint& lhs, const mint& rhs) { return lhs._v != rhs._v; }
    friend std::istream& operator>>(std::istream& is, mint& v) {
        long long temp;
        is >> temp;
        v = mint(temp);
        return is;
    }
    friend std::ostream& operator<<(std::ostream& os, const mint& v) { return os << v.val(); }
   private:
    unsigned int _v;
    static internal::barrett bt;
    static unsigned int umod() { return bt.umod(); }
};
template <int id>
internal::barrett dynamic_modint<id>::bt(998244353);
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class>
struct is_dynamic_modint: public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>>: public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
#endif
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
template <class T>
using max_heap = priority_queue<T>;
template <class T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
#define rep(i, l, r) for (ll i = (l); i < (r); i++)
#define rrep(i, r, l) for (ll i = (r); i-- > (l);)
#define all(x) begin(x), end(x)
template <class T>
bool chmin(T& lhs, T rhs) {
    return lhs > rhs ? (lhs = rhs, true) : false;
}
template <class T>
bool chmax(T& lhs, T rhs) {
    return lhs < rhs ? (lhs = rhs, true) : false;
}
struct IOIO {
    IOIO() { cin.tie(0)->sync_with_stdio(0); }
} ioio;
template <class S, class T>
ostream& operator<<(ostream& os, const pair<S, T>& p) {
    os << '(' << p.first << ", " << p.second << ')';
    return os;
}
template <class T>
ostream& operator<<(ostream& os, const vector<T>& vs) {
    os << '{';
    rep(i, 0, (int)vs.size()) os << vs[i] << (i + 1 == (int)vs.size() ? "" : ", ");
    os << '}';
    return os;
}
template <class T>
ostream& operator<<(ostream& os, const set<T>& vs) {
    os << '{';
    for (auto it = vs.begin(); it != vs.end(); it++) {
        if (it != vs.begin()) { os << ", "; }
        os << *it;
    }
    os << '}';
    return os;
}
template <class T, class U>
ostream& operator<<(ostream& os, const map<T, U>& vs) {
    os << '{';
    for (auto it = vs.begin(); it != vs.end(); it++) {
        if (it != vs.begin()) { os << ", "; }
        os << *it;
    }
    os << '}';
    return os;
}
#ifdef DEBUG
void dump_func() { cerr << endl; }
template <class Head, class... Tail>
void dump_func(Head&& head, Tail&&... tail) {
    cerr << head;
    if (sizeof...(Tail) > 0) { cerr << ", "; }
    dump_func(std::move(tail)...);
}
#define dump(...) cerr << "[" + string(#__VA_ARGS__) + "] ", dump_func(__VA_ARGS__)
#else
#define dump(...) static_cast<int>(0)
#endif
// https://ei1333.github.io/luzhiled/snippets/math/quotient-range.html
template <typename T>
vector<pair<pair<T, T>, T>> quotient_range(T N) {
    T M;
    vector<pair<pair<T, T>, T>> ret;
    for (M = 1; M * M <= N; M++) { ret.emplace_back(make_pair(M, M), N / M); }
    for (T i = M; i >= 1; i--) {
        T L = N / (i + 1) + 1;
        T R = N / i;
        if (L <= R && ret.back().first.second < L) ret.emplace_back(make_pair(L, R), N / L);
    }
    return ret;
}
int main() {
    using mint = modint998244353;
    auto F_ = [&](ll x) { return mint(x) * (x + 1) / 2; };
    auto F = [&](ll l, ll r) { return F_(r - 1) - F_(l - 1); };
    ll n, m;
    cin >> n >> m;
    mint ans = 0;
    for (auto [rng, q]: quotient_range<ll>(m)) {
        auto [l, r] = rng;
        chmin(r, n);
        r++;
        ans += mint(m) * (r - l);
        ans -= mint(q) * F(l, r);
        if (r == n + 1) break;
    }
    if (n > m) ans += mint(m) * (n - m);
    cout << ans << '\n';
}

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結果

テストケース

ソースコード