結果

問題 No.42 貯金箱の溜息
コンテスト
ユーザー beet
提出日時 2019-12-18 10:41:37
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 10 ms / 5,000 ms
コード長 3,643 bytes
コンパイル時間 2,951 ms
コンパイル使用メモリ 201,932 KB
最終ジャッジ日時 2025-01-08 12:20:34
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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ファイルパターン 結果
other AC * 3
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コンパイルメッセージ
main.cpp: In function ‘int ARC033_D()’:
main.cpp:127:8: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  127 |   scanf("%d",&n);
      |   ~~~~~^~~~~~~~~
main.cpp:131:30: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  131 |   for(int i=0;i<=n;i++) scanf("%d",&y[i].v);
      |                         ~~~~~^~~~~~~~~~~~~~
main.cpp:134:8: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  134 |   scanf("%d",&t);
      |   ~~~~~^~~~~~~~~
main.cpp: In function ‘int YUKI_042()’:
main.cpp:153:8: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  153 |   scanf("%d",&T);
      |   ~~~~~^~~~~~~~~
main.cpp:157:10: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  157 |     scanf("%lld",&m);
      |     ~~~~~^~~~~~~~~~~

ソースコード

diff # 

#ifndef call_from_test
#include<bits/stdc++.h>
using namespace std;

#endif
//BEGIN CUT HERE
template<typename M>
M lagrange_interpolation(vector<M> &y,M t){
  int n=y.size()-1;
  if(t.v<=n) return y[t.v];

  vector<M> dp(n+1,1),pd(n+1,1);
  for(int i=0;i<n;i++) dp[i+1]=dp[i]*(t-M(i));
  for(int i=n;i>0;i--) pd[i-1]=pd[i]*(t-M(i));

  vector<M> fact(n+1,1),finv(n+1,1);
  for(int i=1;i<=n;i++) fact[i]=fact[i-1]*M(i);
  finv[n]=M(1)/fact[n];
  for(int i=n;i>=1;i--) finv[i-1]=finv[i]*M(i);

  M res(0);
  for(int i=0;i<=n;i++){
    M tmp=y[i]*dp[i]*pd[i]*finv[i]*finv[n-i];
    if((n-i)&1) res-=tmp;
    else res+=tmp;
  }
  return res;
}
//END CUT HERE
#ifndef call_from_test

#define call_from_test
#ifndef call_from_test
#include<bits/stdc++.h>
using namespace std;
#endif
//BEGIN CUT HERE
template<typename T,T MOD = 1000000007>
struct Mint{
  static constexpr T mod = MOD;
  T v;
  Mint():v(0){}
  Mint(signed v):v(v){}
  Mint(long long t){v=t%MOD;if(v<0) v+=MOD;}

  Mint pow(long long k){
    Mint res(1),tmp(v);
    while(k){
      if(k&1) res*=tmp;
      tmp*=tmp;
      k>>=1;
    }
    return res;
  }

  static Mint add_identity(){return Mint(0);}
  static Mint mul_identity(){return Mint(1);}

  Mint inv(){return pow(MOD-2);}

  Mint& operator+=(Mint a){v+=a.v;if(v>=MOD)v-=MOD;return *this;}
  Mint& operator-=(Mint a){v+=MOD-a.v;if(v>=MOD)v-=MOD;return *this;}
  Mint& operator*=(Mint a){v=1LL*v*a.v%MOD;return *this;}
  Mint& operator/=(Mint a){return (*this)*=a.inv();}

  Mint operator+(Mint a) const{return Mint(v)+=a;}
  Mint operator-(Mint a) const{return Mint(v)-=a;}
  Mint operator*(Mint a) const{return Mint(v)*=a;}
  Mint operator/(Mint a) const{return Mint(v)/=a;}

  Mint operator-() const{return v?Mint(MOD-v):Mint(v);}

  bool operator==(const Mint a)const{return v==a.v;}
  bool operator!=(const Mint a)const{return v!=a.v;}
  bool operator <(const Mint a)const{return v <a.v;}

  static Mint comb(long long n,int k){
    Mint num(1),dom(1);
    for(int i=0;i<k;i++){
      num*=Mint(n-i);
      dom*=Mint(i+1);
    }
    return num/dom;
  }
};
template<typename T,T MOD> constexpr T Mint<T, MOD>::mod;
template<typename T,T MOD>
ostream& operator<<(ostream &os,Mint<T, MOD> m){os<<m.v;return os;}
//END CUT HERE
#ifndef call_from_test

//INSERT ABOVE HERE
signed ABC127_E(){
  cin.tie(0);
  ios::sync_with_stdio(0);

  int h,w,k;
  cin>>h>>w>>k;
  using M = Mint<int>;

  M ans{0};
  for(int d=1;d<h;d++)
    ans+=M(d)*M(h-d)*M(w)*M(w);

  for(int d=1;d<w;d++)
    ans+=M(d)*M(w-d)*M(h)*M(h);

  ans*=M::comb(h*w-2,k-2);
  cout<<ans<<endl;
  return 0;
}
/*
  verified on 2019/06/12
  https://atcoder.jp/contests/abc127/tasks/abc127_e
*/

signed main(){
  //ABC127_E();
  return 0;
}
#endif

#undef call_from_test

signed ARC033_D(){
  int n;
  scanf("%d",&n);

  using M = Mint<int>;
  vector<M> y(n+1);
  for(int i=0;i<=n;i++) scanf("%d",&y[i].v);

  int t;
  scanf("%d",&t);
  printf("%d\n",lagrange_interpolation(y,M(t)).v);
  return 0;
}
/*
  verified on 2019/12/17
  https://atcoder.jp/contests/arc033/tasks/arc033_4
*/

signed YUKI_042(){
  using M = Mint<int, int(1e9+9)>;
  const int MAX = 666 * 6 + 10;
  vector<M> dp(MAX,0);
  dp[0]=M(1);

  for(int x:{1,5,10,50,100,500})
    for(int j=x;j<MAX;j++) dp[j]+=dp[j-x];

  int T;
  scanf("%d",&T);
  while(T--){
    using ll = long long;
    ll m;
    scanf("%lld",&m);
    vector<M> y(6);
    for(int i=0;i<6;i++) y[i]=dp[(m%500)+(i*500)];
    printf("%d\n",lagrange_interpolation(y,M(m/500)).v);
  }
  return 0;
}
/*
  verified on 2019/12/17
  https://yukicoder.me/problems/no/42
*/

signed main(){
  //ARC033_D();
  YUKI_042();
  return 0;
}
#endif
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