結果

問題 No.2318 Phys Bone Maker
ユーザー cureskolcureskol
提出日時 2023-05-30 19:37:24
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 646 ms / 3,000 ms
コード長 7,414 bytes
コンパイル時間 3,899 ms
コンパイル使用メモリ 263,472 KB
最終ジャッジ日時 2025-02-13 16:39:18
ジャッジサーバーID
（参考情報） 		judge3 / judge5
このコードへのチャレンジ
（要ログイン）
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 # 

#pragma region template
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
 
using ll=long long;
using ld=long double;
using vi=vector<int>;
using vll=vector<ll>;
using pi=pair<int,int>;
using pll=pair<ll,ll>;
 
#define overload2(a,b,c,...) c
#define overload3(a,b,c,d,...) d
#define overload4(a,b,c,d,e,...) e
#define overload5(a,b,c,d,e,f,...) f
 
#define TYPE1(T) template<typename T>
#define TYPE2(T,U) template<typename T,typename U>
#define TYPE(...) overload2(__VA_ARGS__,TYPE2,TYPE1)(__VA_ARGS__)
#define TYPES1(T) template<typename... T>
#define TYPES2(H,T) template<typename H,typename... T>
#define TYPES(...) overload2(__VA_ARGS__,TYPES2,TYPES1)(__VA_ARGS__)
 
#define REP4(i,s,n,d) for(int i=(s);i<(n);i+=(d))
#define REP3(i,s,n) REP4(i,s,n,1)
#define REP2(i,n) REP3(i,0,n)
#define REP1(n) REP2(tomato,n)
#define REP(...) overload4(__VA_ARGS__,REP4,REP3,REP2,REP1)(__VA_ARGS__)
 
#define RREP4(i,n,s,d) for(int i=(n)-1;i>=(s);i-=(d))
#define RREP3(i,n,s) RREP4(i,n,s,1)
#define RREP2(i,n) RREP3(i,n,0)
#define RREP1(n) RREP2(tomato,n)
#define RREP(...) overload4(__VA_ARGS__,RREP4,RREP3,RREP2,RREP1)(__VA_ARGS__)

#define FOR4(a,b,c,d,v) for(auto [a,b,c,d]:v)
#define FOR3(a,b,c,v) for(auto [a,b,c]:v)
#define FOR2(a,b,v) for(auto [a,b]:v)
#define FOR1(a,v) for(auto a:v)
#define FOR(...) overload5(__VA_ARGS__,FOR4,FOR3,FOR2,FOR1)(__VA_ARGS__)

#define AFOR4(a,b,c,d,v) for(auto&[a,b,c,d]:v)
#define AFOR3(a,b,c,v) for(auto&[a,b,c]:v)
#define AFOR2(a,b,v) for(auto&[a,b]:v)
#define AFOR1(a,v) for(auto&a:v)
#define AFOR(...) overload5(__VA_ARGS__,AFOR4,AFOR3,AFOR2,AFOR1)(__VA_ARGS__)

#define CFOR4(a,b,c,d,v) for(const auto&[a,b,c,d]:v)
#define CFOR3(a,b,c,v) for(const auto&[a,b,c]:v)
#define CFOR2(a,b,v) for(const auto&[a,b]:v)
#define CFOR1(a,v) for(const auto&a:v)
#define CFOR(...) overload5(__VA_ARGS__,CFOR4,CFOR3,CFOR2,CFOR1)(__VA_ARGS__)

#define PFOR(v) for(bool f=true; (f ? exchange(f,false) : next_permutation(ALL(v)));)
 
#define ALL(v) v.begin(),v.end()
#define RALL(v) v.rbegin(),v.rend()
#define SORT(v) sort(ALL(v))
#define RSORT(v) sort(RALL(v))
#define REVERSE(v) reverse(ALL(v))
#define UNIQUE(v) SORT(v),v.erase(unique(ALL(v)),v.end())
#define SZ(v) int(v.size())
 
TYPES(T) void input(T&... a){ (cin>>...>>a); }
#define DECLARE(T,...) T __VA_ARGS__;input(__VA_ARGS__);
#define INT(...) DECLARE(int,__VA_ARGS__)
#define STR(...) DECLARE(string,__VA_ARGS__)
#define LL(...) DECLARE(long long,__VA_ARGS__)
#define CHR(...) DECLARE(char,__VA_ARGS__)
#define DBL(...) DECLARE(double,__VA_ARGS__)
#define VI(n,v) vi v(n);cin>>v;
#define VLL(n,v) vll v(n);cin>>v;
#define VS(n,s) vector<string> s(n);cin>>s;
 
TYPE(T) istream&operator>>(istream&is,vector<T>&v){
  for(auto&a:v)cin>>a;
  return is;
}
TYPE(T) ostream&operator<<(ostream&os,const vector<T>&v){
  if(&os==&cerr)os<<"[";
  REP(i,v.size()){
    os<<v[i];
    if(i+1<v.size())os<<(&os==&cerr?",":" ");
  }
  if(&os==&cerr)os<<"]";
  return os;
}
TYPE(T,S) istream&operator>>(istream&is,pair<T,S>&p){
  cin>>p.first>>p.second;
  return is;
}

#ifdef __DEBUG
 #include <debug>
#else
 #define debug(...) void(0)
#endif

void print(){ cout << '\n'; }
TYPES(T,Ts) void print(const T& a,const Ts&... b){
  cout<<a;
  (cout<<...<<(cout<< ' ',b));
  cout << '\n';
}
 
TYPE(T) using pq=priority_queue<T>;
TYPE(T) using pqg=priority_queue<T,vector<T>,greater<T>>;
TYPE(T) T pick(queue<T>& que){assert(que.size()); T a=que.front();que.pop();return a;}
TYPE(T) T pick(pq<T>& que){assert(que.size()); T a=que.top();que.pop();return a;}
TYPE(T) T pick(pqg<T>& que){assert(que.size()); T a=que.top();que.pop();return a;}
TYPE(T) T pick(stack<T>& sta){assert(sta.size()); T a=sta.top();sta.pop();return a;}
TYPE(T) void clear(T&v){ v=decltype(v)(); }
 
string YES(bool f=true){return (f?"YES":"NO");}
string Yes(bool f=true){return (f?"Yes":"No");}
string yes(bool f=true){return (f?"yes":"no");}
 
constexpr int INF=1e9+7;
constexpr ll LINF=ll(1e18)+7;
constexpr ld EPS=1e-10;
 
vi iota(int n){vi a(n);iota(ALL(a),0);return a;}
TYPE(T) vector<pair<T,int>> query_sort(const vector<T>&v){
  vector<pair<T,int>> res(v.size());
  REP(i,v.size())res[i]={v[i],i};
  SORT(res);
  return res;
}
TYPE(T) void add(vector<T>&v,T a=1){ AFOR(p,v)p+=a; }
TYPE(T) T rev(T a){ REVERSE(a);return a; }
TYPE(T) void fin(T a){cout<<a<<'\n';exit(0);}
TYPE(T) bool chmax(T &a,T b){return (a<b&&(a=b,true));}
TYPE(T) bool chmin(T &a,T b){return (a>b&&(a=b,true));}
TYPES(T,Ns) auto make_vector(T x,int n,Ns ...ns){
  if constexpr(sizeof...(ns)==0)return vector<T>(n,x);
  else return vector(n,make_vector<T>(x,ns...));
}
bool in(const ll S,const int a){return (S>>a)&1;}
int popcount(const ll S){return __builtin_popcountll(S);}
int digit(char c){ return (c>='0' and c<='9' ? c-'0' : -1);}
ll sqrtll(ll a){ 
  for(ll b=sqrt(a);b*b<=a;b++)if(b*b==a)return b;
  for(ll b=sqrt(a);b>=0 and b*b>=a;b--)if(b*b==a)return b;
  return -1;
}
#pragma endregion template

template<int MAX,bool PRIME_FACTOR=false,bool DIVISOR=false>
class PrimeUtil{
  using ll=long long;
  array<bool,MAX+1> isP;
  static ll pow2(ll a){ return a*a; }
public:
  vector<int> primes;
  conditional_t< PRIME_FACTOR, array< vector<pair<int,int>>, MAX+1 >, bool> prime_factor;
  conditional_t< DIVISOR, array< vector<int>,MAX+1 >, bool> divisor; // 自明な約数は入らない
  
  PrimeUtil(){
    fill(isP.begin(),isP.end(),true);
    isP[0]=isP[1]=false;
    primes.reserve(MAX/10);
    for(int i=2;i<=MAX;i++){
      if constexpr(DIVISOR){
        for(int j=2*i;j<=MAX;j+=i)
          divisor[j].push_back(i);
      }
      if(!isP[i])continue;
      primes.push_back(i);
      for(ll j=pow2(i);j<=MAX;j+=i)isP[j]=false;
      if constexpr(PRIME_FACTOR){
        for(int j=i;j<=MAX;j+=i)prime_factor[j].emplace_back(i,1);
        int limit=MAX/i+1;
        for(ll j=pow2(i);j<=MAX;j*=i){
          for(int k=j;k<=MAX;k+=j)
            prime_factor[k].back().second++;
          if(j>limit)break;
        }
      }
    }
  }

  bool is_prime(ll x){
    if(x<=MAX)return isP[x];
    for(int p:primes){
      if(pow2(p)>x)return true;
      if(x%p==0)return false;
    }
    for(int p=primes.back()+1;pow2(p)<=x;p++)
      if(x%p==0)return false;
    return true;
  }
};
PrimeUtil<1000000,false,false> P;
template<typename F>
void for_all_pareto(const vector<int>&v, const F&f){
  int n=v.size();
  vector<int> a(n,0);
  while(true){
    f(a);
    int idx=0;
    while(idx<n and a[idx]==v[idx])a[idx++]=0;
    if(idx==n)break;
    a[idx]++;
  }
}

#include <atcoder/modint>
#include <atcoder/convolution>
using namespace atcoder;
using mint=modint998244353;
namespace atcoder{
  ostream& operator<<(ostream &os,mint a){os<<a.val();return os;}
  istream& operator>>(istream &is,mint &a){
    long long b;is>>b;a=b;
    return is;
  }
}

int main(){
  ios::sync_with_stdio(false);
  cin.tie(nullptr);

  LL(n);
  vector<int> a;
  for(int p:P.primes){
    if(n%p)continue;
    int cnt=0;
    while(n%p==0){
      n/=p;
      cnt++;
    }
    a.push_back(cnt);
  }
  if(n>1)a.push_back(1);
  SORT(a);
  
  int N=a.size();
  map<vi,mint> memo;
  memo[vi(N,0)]=1;

  auto F=[&](auto F,const vector<int>&v){
    if(memo.count(v))return memo[v];
    mint res=0;
    for_all_pareto(v,[&](const vector<int>&w){
      if(w==v)return;
      mint x=F(F,w);
      REP(i,N)if(v[i]==w[i])x *= w[i]+1;
      res += x;
    });
    return memo[v]=res;
  };
  cout<<F(F,a)<<'\n';
}
0