#1010000 (C++17) No.2891 Mint

提出ソース

結果

問題	No.2891 Mint
ユーザー	dyktr_06
提出日時	2024-09-13 21:55:09
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	175 ms / 2,000 ms
コード長	9,483 bytes
コンパイル時間	4,524 ms
コンパイル使用メモリ	266,784 KB
実行使用メモリ	52,584 KB
最終ジャッジ日時	2024-09-13 21:55:32
合計ジャッジ時間	10,262 ms
ジャッジサーバーID （参考情報）	judge2 / judge4

このコードへのチャレンジ
（要ログイン）

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 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	140 ms 52,452 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	175 ms 52,584 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	139 ms 52,580 KB
testcase_18	AC	78 ms 27,876 KB
testcase_19	AC	71 ms 28,008 KB
testcase_20	AC	131 ms 52,580 KB
testcase_21	AC	72 ms 27,876 KB
testcase_22	AC	150 ms 52,452 KB
testcase_23	AC	59 ms 27,876 KB
testcase_24	AC	127 ms 52,580 KB
testcase_25	AC	161 ms 52,576 KB
testcase_26	AC	156 ms 52,580 KB
testcase_27	AC	149 ms 52,576 KB
testcase_28	AC	166 ms 52,452 KB
testcase_29	AC	74 ms 28,004 KB
testcase_30	AC	132 ms 52,576 KB
testcase_31	AC	77 ms 28,004 KB
testcase_32	AC	140 ms 52,452 KB
testcase_33	AC	111 ms 52,448 KB
testcase_34	AC	119 ms 52,580 KB
testcase_35	AC	129 ms 52,580 KB
testcase_36	AC	140 ms 52,456 KB
testcase_37	AC	116 ms 52,576 KB
testcase_38	AC	108 ms 52,456 KB
testcase_39	AC	127 ms 52,580 KB
testcase_40	AC	130 ms 52,456 KB
testcase_41	AC	70 ms 27,876 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	125 ms 52,452 KB
testcase_48	AC	125 ms 52,552 KB
testcase_49	AC	138 ms 52,580 KB
testcase_50	AC	47 ms 27,876 KB
testcase_51	AC	111 ms 52,580 KB
testcase_52	AC	36 ms 15,472 KB
testcase_53	AC	97 ms 52,452 KB
testcase_54	AC	105 ms 52,580 KB
testcase_55	AC	24 ms 15,716 KB
testcase_56	AC	138 ms 52,580 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>
#include <atcoder/all>

using namespace std;
using namespace atcoder;

#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(n) for(int i = 0; i < (int)(n); ++i)
#define rep2(i, n) for(int i = 0; i < (int)(n); ++i)
#define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i)
#define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)

#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i)
#define ALL(a) (a).begin(), (a).end()
#define Sort(a) (sort((a).begin(), (a).end()))
#define RSort(a) (sort((a).rbegin(), (a).rend()))
#define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end()))

typedef long long int ll;
typedef unsigned long long ul;
typedef long double ld;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef vector<char> vc;
typedef vector<string> vst;
typedef vector<double> vd;
typedef vector<long double> vld;
typedef pair<long long, long long> P;

template<class T> long long sum(const T &a){ return accumulate(a.begin(), a.end(), 0LL); }
template<class T> auto min(const T &a){ return *min_element(a.begin(), a.end()); }
template<class T> auto max(const T &a){ return *max_element(a.begin(), a.end()); }

const long long MINF = 0x7fffffffffff;
const long long INF = 0x1fffffffffffffff;
const long long MOD = 998244353;
const long double EPS = 1e-9;
const long double PI = acos(-1);

template<class T> inline bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; }

template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; return os; }
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; return is; }
template<typename T> ostream &operator<<(ostream &os, const vector<T> &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; }
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; }
template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; }
template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; }
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; }

template<class T, class U> inline T vin(T &vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }
template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }
template<class... T> void in(T&... a){ (cin >> ... >> a); }
void out(){ cout << '\n'; }
template<class T, class... Ts> void out(const T &a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T, class U> void inGraph(vector<vector<T>> &G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } }

template <typename T>
T arithmeticsum(T a, T d, T n){
    return n * (a * 2 + (n - 1) * d) / 2;
}

template <typename T>
vector<tuple<T, T, T>> enumerate_quotients(const T &n){
    vector<tuple<T, T, T>> res;
    for(T l = 1; l <= n;){
        const T quotient = n / l;
        const T r = n / quotient + 1;

        // [l, r)
        res.emplace_back(l, r, quotient);
        l = r;
    }
    return res;
}

namespace modcalc{

    template <typename T>
    T modpow(T x, T n, const T &m){
        T ret = 1 % m;
        x %= m;
        while(n > 0){
            if(n & 1) (ret *= x) %= m;
            (x *= x) %= m;
            n >>= 1;
        }
        return ret;
    }

    template <typename T>
    T modinv(T a, T m){
        T b = m, u = 1, v = 0;
        while(b){
            T t = a / b;
            a -= t * b; swap(a, b);
            u -= t * v; swap(u, v);
        }
        u %= m;
        if(u < 0) u += m;
        return u;
    }

    template <typename T>
    T modarithmeticsum(T a, T d, T n, T m){
        T m2 = m * 2;
        a %= m2, n %= m2, d %= m2;
        T b = (n + m2 - 1) * d % m2;
        return ((n * (a * 2 + b) % m2) / 2) % m;
    }

    template <typename T>
    T modgeometricsum(T a, T r, T n, T m){
        a %= m;
        if(r == 1){
            n %= m;
            return a * n % m;
        }
        return a * (modpow(r, n, m) + m - 1) % m * modinv(r - 1, m) % m;
    }

    template <typename T>
    T modgeometricsum2(T a, T r, T n, T m){
        a %= m;
        if(r == 1){
            n %= m;
            return a * n % m;
        }
        T ret = 0;
        T x = 1 % m;
        T sum = 0;
        for(int i = 0; n > 0; ++i){
            if(n & 1){
                (ret += x * modpow(r, sum, m) % m) %= m;
                sum |= 1LL << i;
            }
            (x += x * modpow(r, 1LL << i, m) % m) %= m;
            n >>= 1;
        }
        return a * ret % m;
    }
}

template <long long Modulus>
struct ModInt{
    long long val;
    constexpr ModInt(const long long _val = 0) noexcept : val(_val) {
        normalize();
    }
    void normalize(){
        val = (val % Modulus + Modulus) % Modulus;
    }
    inline ModInt &operator+=(const ModInt &rhs) noexcept {
        if(val += rhs.val, val >= Modulus) val -= Modulus;
        return *this;
    }
    inline ModInt &operator-=(const ModInt &rhs) noexcept {
        if(val -= rhs.val, val < 0) val += Modulus;
        return *this;
    }
    inline ModInt &operator*=(const ModInt &rhs) noexcept {
        val = val * rhs.val % Modulus;
        return *this;
    }
    inline ModInt &operator/=(const ModInt &rhs) noexcept {
        val = val * inv(rhs.val).val % Modulus;
        return *this;
    }
    inline ModInt &operator++() noexcept {
        if(++val >= Modulus) val -= Modulus;
        return *this;
    }
    inline ModInt operator++(int) noexcept {
        ModInt t = val;
        if(++val >= Modulus) val -= Modulus;
        return t;
    }
    inline ModInt &operator--() noexcept {
        if(--val < 0) val += Modulus;
        return *this;
    }
    inline ModInt operator--(int) noexcept {
        ModInt t = val;
        if(--val < 0) val += Modulus;
        return t;
    }
    inline ModInt operator-() const noexcept { return (Modulus - val) % Modulus; }
    inline ModInt inv(void) const { return inv(val); }
    ModInt pow(long long n){
        assert(0 <= n);
        ModInt x = *this, r = 1;
        while(n){
            if(n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    ModInt inv(const long long n) const {
        long long a = n, b = Modulus, u = 1, v = 0;
        while(b){
            long long t = a / b;
            a -= t * b; swap(a, b);
            u -= t * v; swap(u, v);
        }
        u %= Modulus;
        if(u < 0) u += Modulus;
        return u;
    }
    friend inline ModInt operator+(const ModInt &lhs, const ModInt &rhs) noexcept { return ModInt(lhs) += rhs; }
    friend inline ModInt operator-(const ModInt &lhs, const ModInt &rhs) noexcept { return ModInt(lhs) -= rhs; }
    friend inline ModInt operator*(const ModInt &lhs, const ModInt &rhs) noexcept { return ModInt(lhs) *= rhs; }
    friend inline ModInt operator/(const ModInt &lhs, const ModInt &rhs) noexcept { return ModInt(lhs) /= rhs; }
    friend inline bool operator==(const ModInt &lhs, const ModInt &rhs) noexcept { return lhs.val == rhs.val; }
    friend inline bool operator!=(const ModInt &lhs, const ModInt &rhs) noexcept { return lhs.val != rhs.val; }
    friend inline istream &operator>>(istream &is, ModInt &x) noexcept {
        is >> x.val;
        x.normalize();
        return is;
    }
    friend inline ostream &operator<<(ostream &os, const ModInt &x) noexcept { return os << x.val; }
};

using mint = ModInt<MOD>;

ll T;

void input(){
    in(T);
}

void solve(){
    ll n, m; in(n, m);
    using T = tuple<ll, ll, ll>;
    vector<T> eq = enumerate_quotients(m);
    mint ans = 0;
    for(auto [lb, rb, qb] : eq){
        ll l = lb, r = min(n + 1, rb);
        if(l >= r) continue;
        // out(l, r);
        ll q = m % l;
        ans += modcalc::modarithmeticsum(q, -qb, r - l, MOD);
    }
    ans += max(0LL, (n - m) % MOD) * (m % MOD);
    out(ans);
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(20);

    T = 1;
    // input();
    while(T--) solve();
}

yukicoder

結果

テストケース

ソースコード