結果

問題 No.2318 Phys Bone Maker
ユーザー 👑 eoeoeoeo
提出日時 2023-05-27 00:47:44
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,103 ms / 3,000 ms
コード長 7,955 bytes
コンパイル時間 3,010 ms
コンパイル使用メモリ 222,968 KB
最終ジャッジ日時 2025-02-13 08:45:37
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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 * 3
other AC * 45
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 # 

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#ifdef MY_DEBUG
#define dbg(...) debug_out(__VA_ARGS__)
#define dbgn(var) debug_out(#var, "=", var)
#else
#define dbg(...)
#define dbgn(...)
#endif
void debug_out();
template <class Head, class... Tail> void debug_out(Head, Tail...);
template <class T> bool chmax(T&, const T&);
template <class T> bool chmin(T&, const T&);
template <class T> T pwr(T, ll);
template <class T> T squ(T x) { return x * x; }
ll fact(ll);
ll comb(ll, ll);
ll ctoll(char);
char lltoc(ll);
bool flg(ll b, ll i) { return ((b) >> (i)) & 1LL; }  // flg(0b010, 1LL) -> true
const ll LINF = (ll)1e18 + 7;
const double EPS = 1e-9;
const int MAX_DUBUG_SIZE = 10;

#include <atcoder/math>
#include <atcoder/modint>
using namespace atcoder;

// const int MOD = 1e9 + 7;
// using mint = modint1000000007;

const int MOD = 998244353;
using mint = modint998244353;

// using mint = modint; // main の最初で mint::setmod(/* 任意のMOD */);

ostream& operator<<(ostream& os, const mint& N) { return os << N.val(); }

// 計算量 O(√N)
vector<ll> divisor(ll N) {
    vector<ll> res;
    for (ll i = 1; i * i <= N; ++i) {
        if (N % i == 0) {
            res.push_back(i);
            // 重複しないならば i の相方である N/i も push
            if (N / i != i) res.push_back(N / i);
        }
    }
    // 小さい順に並び替える
    sort(res.begin(), res.end());
    return res;
}

// 素因数分解 計算量O(√N)
map<ll, ll> prime_factor(ll N) {
    map<ll, ll> res;
    for (ll i = 2; i * i <= N; i++) {
        while (N % i == 0) {
            res[i]++;
            N /= i;
        }
    }

    if (N != 1) {  // N が素数の場合
        res[N] = 1;
    }

    return res;
}

vector<pair<ll, ll>> prime_factor_vector(ll N) {
    vector<pair<ll, ll>> res;
    for (ll i = 2; i * i <= N; i++) {
        ll cnt = 0;
        while (N % i == 0) {
            cnt++;
            N /= i;
        }
        if (cnt > 0) res.push_back({i, cnt});
    }

    if (N > 1) {  // N が素数の場合
        res.push_back({N, 1});
    }

    return res;
}

void solve([[maybe_unused]] int test) {
    ll n;
    cin >> n;

    vector<ll> divs = divisor(n);
    auto pf_n = prime_factor(n);
    vector<pair<ll, vector<pair<ll, ll>>>> divs_pf;
    for (auto&& x : divs) {
        auto pf = prime_factor(x);
        vector<pair<ll, ll>> pf_x;
        for (auto&& [p, q] : pf_n) {
            pf_x.push_back({p, pf[p]});
        }
        divs_pf.push_back({x, pf_x});
    }

    ll sz = divs.size();
    vector<mint> dp(sz, 0);
    dp[0] = 1;
    for (ll i = 0; i < sz; i++) {
        auto [x, pf_x] = divs_pf[i];
        for (ll j = i + 1; j < sz; j++) {
            auto [y, pf_y] = divs_pf[j];
            if (y % x != 0) continue;
            mint tmp = dp[i];
            for (ll k = 0; k < pf_n.size(); k++) {
                if (pf_y[k].second == 0) continue;
                if (pf_x[k].second == pf_y[k].second) {
                    tmp *= pf_y[k].second + 1;
                }
            }

            dp[j] += tmp;
        }
    }

    cout << dp[sz - 1] << "\n";
}

int main() {
    cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(12);

    int testcase_size = 1;
    // cin >> testcase_size;

    for (int _t = 0; _t < testcase_size; _t++) {
        solve(_t);
    }
}

/*



























-----------------------------------MY_FUNCTIONS------------------------------------ */
template <class First, class Second> ostream& operator<<(ostream& os, const pair<First, Second>& pp) {
    return os << "{" << pp.first << "," << pp.second << "}";
}

template <class T> ostream& operator<<(ostream& os, const vector<T>& V) {
    if (V.empty()) return os << "[]";
    os << "[";
    for (ll i = 0; i < (ll)V.size(); i++) {
        os << V[i] << (i == int(V.size() - 1) ? "]" : ",");
    }
    return os;
}

template <class T> ostream& operator<<(ostream& os, const vector<vector<T>>& VV) {
    if (VV.empty()) return os << "[[]]";
    os << "[\n";
    for (auto&& V : VV) {
        os << V << "\n";
    }
    os << "]";
    return os;
}

template <class T> ostream& operator<<(ostream& os, const vector<vector<vector<T>>>& VVV) {
    if (VVV.empty()) return os << "[[[]]]";
    os << "["
       << "\n";
    int cnt = 0;
    for (auto&& VV : VVV) {
        os << cnt++ << VV << "\n\n";
    }
    os << "]";
    return os;
}

template <class T> ostream& operator<<(ostream& os, const set<T>& SS) {
    if (SS.empty()) return os << "[]";
    os << "[";
    auto ii = SS.begin();
    for (; ii != SS.end(); ii++) os << *ii << (ii == prev(SS.end()) ? "]" : ",");
    return os;
}

template <class Key, class Tp> ostream& operator<<(ostream& os, const map<Key, Tp>& MM) {
    if (MM.empty()) return os << "[{:}]";
    os << "[";
    auto ii = MM.begin();
    for (; ii != MM.end(); ii++)
        os << "{" << ii->first << ":" << ii->second << "}" << (ii == prev(MM.end()) ? "]" : ",");
    return os;
}

void debug_out() { cerr << endl; }

void debug_out_vl(vector<ll> V) {
    const int MAX_SIZE = min((int)V.size(), MAX_DUBUG_SIZE);

    cerr << "\033[33m";
    if (V.empty()) {
        cerr << "[]" << endl;
        return;
    }
    cerr << "[";
    for (int i = 0; i < MAX_SIZE; i++) {
        if (V[i] == LINF)
            cerr << "INF";
        else
            cerr << V[i];

        if (i == (int)V.size() - 1)
            cerr << "]\n";
        else if (i == MAX_DUBUG_SIZE - 1)
            cerr << ",...\n";
        else
            cerr << ",";
    }
    return;
}

void debug_out_vvl(vector<vector<ll>> VV) {
    cerr << "\033[33m";
    if (VV.empty()) {
        cerr << "[[]]" << endl;
        return;
    }
    cerr << "[\n";

    int MAX_ROW = min((int)VV.size(), MAX_DUBUG_SIZE);
    for (int i = 0; i < MAX_ROW; i++) {
        const int MAX_COLUMN = min((int)VV[i].size(), MAX_DUBUG_SIZE);
        if (VV[i].empty()) {
            cerr << "[]" << endl;
            continue;
        }
        cerr << "[";
        for (int j = 0; j < MAX_COLUMN; j++) {
            if (VV[i][j] == LINF)
                cerr << "INF";
            else
                cerr << VV[i][j];

            if (j == (int)VV[i].size() - 1)
                cerr << "]\n";
            else if (j == MAX_DUBUG_SIZE - 1)
                cerr << ",...\n";
            else
                cerr << ",";
        }

        if (i != (int)VV.size() - 1 and i == MAX_DUBUG_SIZE - 1) {
            cerr << ":\n:\033[m\n";
            return;
        }
    }

    cerr << "]\033[m\n";
    return;
}

template <class Head, class... Tail> void debug_out(Head H, Tail... T) {
    if constexpr (std::is_same_v<Head, vector<ll>>) {
        debug_out_vl(H);
    }
    else if constexpr (std::is_same_v<Head, vector<vector<ll>>>) {
        debug_out_vvl(H);
    }
    else {
        cerr << "\033[33m" << H << "\033[m ";
    }

    debug_out(T...);
}

template <class T> bool chmax(T& a, const T& b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> bool chmin(T& a, const T& b) {
    if (b < a) {
        a = b;
        return true;
    }
    return false;
}

template <class T> T pwr(T x, ll n) {
    T res = 1;
    for (int i = 0; i < n; i++) {
        res *= x;
    }
    return res;
}

ll fact(ll n) {
    ll res = 1;
    for (ll i = 1; i <= n; i++) res *= i;
    return res;
}

ll comb(ll n, ll r) {  // comb(60, 30)までオーバーフローなし
    ll res = 1;
    for (int i = 1; i <= r; i++) {
        res *= n--;
        res /= i;
    }
    return res;
}

ll ctoll(char c) {
    if (c < '0' or '9' < c) {
        cerr << "\n\033[33m ctoll に '0'~'9' 以外の文字が入りました．\033[m\n" << endl;
    }
    return ll(c - '0');
}

char lltoc(ll n) {
    if (n < 0 or 9 < n) {
        cerr << "\n\033[33m lltoc に 0 ~ 9 以外の数字が入りました．\033[m\n" << endl;
    }
    return char(n + '0');
}
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