#873078 (C++23) No.2318 Phys Bone Maker

• 問題: No.2318 Phys Bone Maker
• ユーザー: moharan627
• 提出日時: 2023-05-27 13:40:03
• 言語: C++23 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 2,086 ms / 3,000 ms
• コード長: 7,567 bytes
• コンパイル時間: 5,713 ms
• コンパイル使用メモリ: 331,980 KB
• 実行使用メモリ: 7,060 KB
• 最終ジャッジ日時: 2024-12-25 23:03:07
• 合計ジャッジ時間: 21,553 ms
• ジャッジサーバーID （参考情報）: judge3 / judge1

ファイルパターン	結果
sample	AC * 3
other	AC * 45

ソースコード

#if !__INCLUDE_LEVEL__

#include __FILE__
vector<ll> lldiv(ll n) { 
    vector<ll> S;
    for (ll i = 1; 1LL*i*i <= n; i++) if (n%i == 0) { S.push_back(i); if (i*i != n) S.push_back(n / i); }
    sort(S.begin(), S.end());
    return S;
}
//auto Div = lldiv(N);
// 素因数分解
// 460 = 2^2 x 5 x 23 の場合
// 返り値は {{2, 2}, {5, 1}, {23, 1}}
vector<pair<long long, long long> > prime_factorize(long long N) {
    // 答えを表す可変長配列
    vector<pair<long long, long long> > res;

    // √N まで試し割っていく
    for (long long p = 2; p * p <= N; ++p) {
        // N が p で割り切れないならばスキップ
        if (N % p != 0) {
            continue;
        }

        // N の素因数 p に対する指数を求める
        int e = 0;
        while (N % p == 0) {
            // 指数を 1 増やす
            ++e;

            // N を p で割る
            N /= p;
        }

        // 答えに追加
        res.emplace_back(p, e);
    }

    // 素数が最後に残ることがありうる
    if (N != 1) {
        res.emplace_back(N, 1);
    }
    return res;
}
int main()
{
    ll N;cin >> N;
    vl Div = lldiv(N);
    ll L = Div.size();
    vector<pair<ll,ll>> Pri = prime_factorize(N);
    vl P;
    fore(p,Pri)P.emplace_back(p.first);
    unordered_map<ll,mint2> DP;
    unordered_map<pair<ll,ll>,ll> memo;
    DP[1]=1;
    rep(i,L){
        range(j,i+1,L){
            if(Div[j]%Div[i]!=0)continue;
            mint2 Add = 1;
            fore(p,P){
                int inum = 0;
                if(memo.count({Div[i],p})==0){
                    ll ip = p;
                    while(Div[i]%ip==0){
                        inum+=1;
                        ip*=p;
                    }
                    memo[{Div[i],p}]=inum;
                }
                else inum = memo[{Div[i],p}];

                int jnum = 0;
                if(memo.count({Div[j],p})==0){
                    ll jp = p;
                    while(Div[j]%jp==0){
                        jnum+=1;
                        jp*=p;
                    }
                    memo[{Div[j],p}]=jnum;
                }
                else jnum = memo[{Div[j],p}];

                if(inum<jnum)continue;
                else if(inum==jnum){
                    Add*=(inum+1);
                }
                else if(inum>jnum)Add = 0;
            }
            //cout << Div[i] << " " << Div[j] << " " << Add << "\n";
            DP[Div[j]]+=DP[Div[i]]*Add;
        }
    }
    /*
    fore(d,Div){
        cout << d << " " << DP[d] << "\n";
    }
    */
    cout << DP[N] << "\n";
}

#else
//tie(a, b, c) = t
//repをllにしているので時間ギリギリならintに変換
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
#define rep(i, n) for(long long int i = 0; i < n; i++)
#define rrep(i, n) for(long long int i = n-1; i >= 0; i--)
#define range(i, m, n) for(long long int i = m; i < n; i++)
#define fore(i,a) for(auto &i:a)
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define Sum(v) accumulate(all(v),0LL)
#define minv(v) *min_element(all(v))
#define maxv(v) *max_element(all(v))
typedef long long ll;
typedef vector<ll> vl;
typedef vector<vector<ll>> vvl;
const ll INF = 1e16;
const ll MOD1 = 1000000007;
const ll MOD2 = 998244353;
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; }
ll SN(char s){return ll(s-'0');}
ll SN(string s){return stoll(s);}
int alpN(char s){return int(s-'a');}
int AlpN(char s){return int(s-'A');}
int Nalp(int n){return char(n+97);}
int NAlp(int n){return char(n+65);}
using mint = modint;
using mint1 = modint1000000007;
using mint2 = modint998244353;
using pll = pair<long long, long long>;
template <class T>ostream &operator<<(ostream &o,const vector<T>&v){for(int i=0;i<(int)v.size();i++)o<<(i>0?" ":"")<<v[i];return o;}//vector空白区切り出力
ostream& operator<<(ostream& os, const mint1& N) {return os << N.val();}//mint出力。デフォはmint1
ostream& operator<<(ostream& os, const mint2& N) {return os << N.val();}
template<class T> bool contain(const std::string& s, const T& v) {
    return s.find(v) != std::string::npos;
}
ll max(int x,ll y){return max((ll)x,y);}
ll max(ll x,int y){return max(x,(ll)y);}
ll min(int x,ll y){return min((ll)x,y);}
ll min(ll x,int y){return min(x,(ll)y);}
template <typename T>
struct edge {
    int src, to;
    T cost;
    edge(int to, T cost) : src(-1), to(to), cost(cost) {}
    edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}
    edge& operator=(const int& x) {
        to = x;
        return *this;
    }
    operator int() const { return to; }
};

template <typename T>
using Edges = vector<edge<T> >;
template <typename T>
using WeightedGraph = vector<Edges<T> >;
using UnWeightedGraph = vector<vector<int> >;
template <typename T>
using Matrix = vector<vector<T> >;

//unorderd_mapの拡張…https://qiita.com/hamamu/items/4d081751b69aa3bb3557
template<class T> size_t HashCombine(const size_t seed,const T &v){
    return seed^(std::hash<T>()(v)+0x9e3779b9+(seed<<6)+(seed>>2));
}
/* pair用 */
template<class T,class S> struct std::hash<std::pair<T,S>>{
    size_t operator()(const std::pair<T,S> &keyval) const noexcept {
        return HashCombine(std::hash<T>()(keyval.first), keyval.second);
    }
};
/* vector用 */
template<class T> struct std::hash<std::vector<T>>{
    size_t operator()(const std::vector<T> &keyval) const noexcept {
        size_t s=0;
        for (auto&& v: keyval) s=HashCombine(s,v);
        return s;
    }
};
/* tuple用 */
template<int N> struct HashTupleCore{
    template<class Tuple> size_t operator()(const Tuple &keyval) const noexcept{
        size_t s=HashTupleCore<N-1>()(keyval);
        return HashCombine(s,std::get<N-1>(keyval));
    }
};
template <> struct HashTupleCore<0>{
    template<class Tuple> size_t operator()(const Tuple &keyval) const noexcept{ return 0; }
};
template<class... Args> struct std::hash<std::tuple<Args...>>{
    size_t operator()(const tuple<Args...> &keyval) const noexcept {
        return HashTupleCore<tuple_size<tuple<Args...>>::value>()(keyval);
    }
};
ll ceil(ll a, ll b){
  return (a + b - 1) / b;
}
struct string_converter {
    char start = 0;
    char type(const char &c) const { return (islower(c) ? 'a' : isupper(c) ? 'A' : isdigit(c) ? '0' : 0); }
    int convert(const char &c) {
        if(!start) start = type(c);
        return c - start;
    }
    int convert(const char &c, const string &chars) { return chars.find(c); }
    template <typename T> auto convert(const T &v) {
        vector<decltype(convert(v[0]))> ret;
        ret.reserve(v.size());
        for(auto &&e : v) ret.emplace_back(convert(e));
        return ret;
    }
    template <typename T> auto convert(const T &v, const string &chars) {
        vector<decltype(convert(v[0], chars))> ret;
        ret.reserve(v.size());
        for(auto &&e : v) ret.emplace_back(convert(e, chars));
        return ret;
    }
    int operator()(const char &v, char s = 0) {
        start = s;
        return convert(v);
    }
    int operator()(const char &v, const string &chars) { return convert(v, chars); }
    template <typename T> auto operator()(const T &v, char s = 0) {
        start = s;
        return convert(v);
    }
    template <typename T> auto operator()(const T &v, const string &chars) { return convert(v, chars); }
} toint;
#endif