結果

問題 No.2487 Multiple of M
ユーザー kiyoshi0205
提出日時 2023-09-29 22:30:04
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 3 ms / 2,000 ms
コード長 6,158 bytes
コンパイル時間 9,249 ms
コンパイル使用メモリ 351,468 KB
実行使用メモリ 6,948 KB
最終ジャッジ日時 2024-07-23 06:54:20
合計ジャッジ時間 9,723 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
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 * 53
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 # 

#ifdef DEBUG
#include"stdlibrary.h"
#else
#pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
using namespace std;
#endif
// #include<ext/pb_ds/assoc_container.hpp>
// #include<ext/pb_ds/tree_policy.hpp>
// #include<ext/pb_ds/tag_and_trait.hpp>
// using namespace __gnu_pbds;
// #include<boost/multiprecision/cpp_int.hpp>
// namespace multiprecisioninteger = boost::multiprecision;
// using cint=multiprecisioninteger::cpp_int;
using ll=long long;
using datas=std::pair<ll,ll>;
using ddatas=std::pair<long double,long double>;
using tdata=std::pair<ll,datas>;
using vec=std::vector<ll>;
using mat=std::vector<vec>;
using pvec=std::vector<datas>;
using pmat=std::vector<pvec>;
// using llset=tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>;
#define For(i,a,b) for(i=a;i<(ll)b;++i)
#define bFor(i,b,a) for(i=b,--i;i>=(ll)a;--i)
#define rep(i,N) For(i,0,N)
#define rep1(i,N) For(i,1,N)
#define brep(i,N) bFor(i,N,0)
#define brep1(i,N) bFor(i,N,1)
#define all(v) std::begin(v),std::end(v)
#define allr(v) std::rbegin(v),std::rend(v)
#define vsort(v) std::sort(all(v))
#define vrsort(v) std::sort(allr(v))
#define uniq(v) vsort(v),(v).erase(std::unique(all(v)),std::end(v))
#define endl "\n"
#define popcount __builtin_popcountll
#define print(x) std::cout<<x<<endl
#define printyes print("Yes")
#define printno print("No")
#define printYES print("YES")
#define printNO print("NO")
#define output(v) do{bool f=0;for(auto outi:v){std::cout<<(f?" ":"")<<outi;f=1;}std::cout<<endl;}while(0)
#define matoutput(v) do{for(auto outimat:v)output(outimat);}while(0)
// constexpr ll mod=1000000007;
constexpr ll mod=998244353;
constexpr ll inf=1LL<<60;
constexpr long double eps=1e-9;
const long double PI=acosl(-1);
template<class T,auto x=T::mod()> std::ostream& operator<<(std::ostream& os,const T& v){return os<<v.val();}
template<class T> std::ostream& operator<<(std::ostream& os,const std::vector<T>& v);
template<class T,class F> std::ostream& operator<<(std::ostream& os,const std::set<T,F>& v);
template<class T,class F> std::ostream& operator<<(std::ostream& os,const std::multiset<T,F>& v);
template<class T,class E,class F> std::ostream& operator<<(std::ostream& os,const std::map<T,E,F>& v);
template<class T,class E> std::ostream& operator<<(std::ostream& os,const std::pair<T,E>& p){return os<<"("<<p.first<<","<<p.second<<")";}
template<class T> std::ostream& operator<<(std::ostream& os,const std::vector<T>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T,class F> std::ostream& operator<<(std::ostream& os,const std::set<T,F>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T,class F> std::ostream& operator<<(std::ostream& os,const std::multiset<T,F>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T,class E,class F> std::ostream& operator<<(std::ostream& os,const std::map<T,E,F>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T> inline bool chmax(T& a,const T b){bool x=a<b;if(x)a=b;return x;}
template<class T> inline bool chmin(T& a,const T b){bool x=a>b;if(x)a=b;return x;}
#ifdef DEBUG
void debugg(){std::cout<<endl;}
template<class T,class... Args>void debugg(const T& x,const Args&... args){std::cout<<" "<<x;debugg(args...);}
#define debug(...) cout<<__LINE__<<" ["<<#__VA_ARGS__<<"]:",debugg(__VA_ARGS__)
#else
#define debug(...) (void(0))
#endif

inline void startupcpp(void) noexcept{
  cin.tie(0)->sync_with_stdio(0);
  cout<<fixed<<setprecision(15);
}

ll modinv(ll a,const ll m=mod) noexcept{
  ll b=m,u=1,v=0,t;
  while(b){
    t=a/b;
    a-=t*b; swap(a,b);
    u-=t*v; swap(u,v);
  }
  return (u+m)%m;
}

ll moddevide(const ll a,const ll b) noexcept{return (a*modinv(b))%mod;}

vec modncrlistp,modncrlistm;

ll modncr(const ll n,const ll r){
  if(n<r||r<0)return 0;
  ll i,size=modncrlistp.size();
  if(size<=n){
    modncrlistp.resize(n+1);
    modncrlistm.resize(n+1);
    if(!size){
      modncrlistp[0]=modncrlistm[0]=1;
      size++;
    }
    For(i,size,n+1)modncrlistp[i]=modncrlistp[i-1]*i%mod;
    modncrlistm[n]=modinv(modncrlistp[n]);
    for(i=n;i>size;--i)modncrlistm[i-1]=modncrlistm[i]*i%mod;
  }
  return modncrlistp[n]*modncrlistm[r]%mod*modncrlistm[n-r]%mod;
}

ll modpow(ll a,ll n,const ll m=mod){
  if(n<0)return 0;
  ll res=1;
  while(n>0){
    if(n&1)res=res*a%m;
    a=a*a%m;
    n>>=1;
  }
  return res;
}

constexpr ll gcd(const ll a,const ll b) noexcept{return (!b)?abs(a):(a%b==0)?abs(b):gcd(b,a%b);}
constexpr ll lcm(const ll a,const ll b) noexcept{return a/gcd(a,b)*b;}

#include<atcoder/all>
using mint=atcoder::modint998244353;
void operator>>(istream& is,mint& v){long long x;is>>x;v=x;}

ll N,M,K,H,W,A,B,C,D;
string s,t;
ll ans;
struct matrix{
  mint v[2][2]={};
  matrix operator*(const matrix& r)const{
    matrix res;
    ll i,j,k;
    rep(i,2)rep(k,2)rep(j,2)res.v[i][j]+=v[i][k]*r.v[k][j];
    return res;
  }
  vector<mint> operator*(const vector<mint>& ch)const{
    return vector<mint>({v[0][0]*ch[0]+v[0][1]*ch[1],v[1][0]*ch[0]+v[1][1]*ch[1]});
  }
  matrix operator^(ll n)const{
    matrix res;
    res.v[0][0]=res.v[1][1]=1;
    matrix a=*this;
    while(n){
      if(n&1)res=res*a;
      a=a*a;
      n>>=1;
    }
    return res;
  }
};
int main(){
  startupcpp();
// int codeforces;cin>>codeforces;while(codeforces--){
  ll i,j=1;
  cin>>N>>M>>K;
  K%=M;
  if(K==0||N==1){
    print(0);
    return 0;
  }
  vec v;
  v.emplace_back(1);
  while(1){
    j=v.back()*K%M;
    ll d=gcd(j,M);
    if(v.back()==d)break;
    v.emplace_back(d);
  }
  auto make_mat=[](ll d){
    matrix ret;
    ret.v[0][0]=d-1;
    if(d==0)ret.v[0][0]=M-1;
    ret.v[0][1]=d;
    ret.v[1][0]=M-d;
    if(d==0)ret.v[1][0]=0;
    ret.v[1][1]=M-d-1;
    return ret;
  };
  auto ret=make_mat(v.back())^(N-v.size());
  vector<mint> init=ret*vector<mint>({1,0});
  reverse(all(v));
  for(auto x:v){
    init=make_mat(x)*init;
  }
  print(init[0].val());
// }
}
0