結果

問題 No.1068 #いろいろな色 / Red and Blue and more various colors (Hard)
ユーザー tko919tko919
提出日時 2020-05-29 21:57:24
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 554 ms / 3,500 ms
コード長 7,520 bytes
コンパイル時間 2,047 ms
コンパイル使用メモリ 177,080 KB
実行使用メモリ 80,580 KB
最終ジャッジ日時 2024-04-23 22:00:31
合計ジャッジ時間 13,722 ms
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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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 38 ms
32,016 KB
testcase_01 AC 38 ms
31,900 KB
testcase_02 AC 38 ms
31,944 KB
testcase_03 AC 52 ms
32,904 KB
testcase_04 AC 48 ms
32,644 KB
testcase_05 AC 49 ms
32,824 KB
testcase_06 AC 46 ms
32,524 KB
testcase_07 AC 47 ms
32,560 KB
testcase_08 AC 49 ms
32,844 KB
testcase_09 AC 50 ms
32,844 KB
testcase_10 AC 42 ms
32,360 KB
testcase_11 AC 45 ms
32,492 KB
testcase_12 AC 43 ms
32,220 KB
testcase_13 AC 531 ms
80,576 KB
testcase_14 AC 529 ms
80,452 KB
testcase_15 AC 528 ms
80,452 KB
testcase_16 AC 533 ms
80,576 KB
testcase_17 AC 529 ms
80,456 KB
testcase_18 AC 527 ms
80,428 KB
testcase_19 AC 546 ms
80,576 KB
testcase_20 AC 554 ms
80,456 KB
testcase_21 AC 529 ms
80,580 KB
testcase_22 AC 527 ms
80,576 KB
testcase_23 AC 527 ms
80,448 KB
testcase_24 AC 529 ms
80,456 KB
testcase_25 AC 532 ms
80,448 KB
testcase_26 AC 526 ms
80,580 KB
testcase_27 AC 529 ms
80,456 KB
testcase_28 AC 533 ms
80,580 KB
testcase_29 AC 470 ms
80,452 KB
testcase_30 AC 471 ms
80,524 KB
testcase_31 AC 37 ms
32,036 KB
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 # 

#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;

//template
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(v) (v).begin(),(v).end()
typedef long long int ll;
const int inf = 0x3fffffff; const ll INF = 0x1fffffffffffffff; const double eps=1e-12;
template<typename T>inline bool chmax(T& a,T b){if(a<b){a=b;return 1;}return 0;}
template<typename T>inline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;}
//end

template<unsigned mod=998244353>struct fp {
   unsigned v;
   static unsigned get_mod(){return mod;}
   unsigned inv() const{
      int tmp,a=v,b=mod,x=1,y=0;
      while(b)tmp=a/b,a-=tmp*b,swap(a,b),x-=tmp*y,swap(x,y);
      if(x<0){x+=mod;} return x;
   }
   fp():v(0){}
   fp(ll x):v(x>=0?x%mod:mod+(x%mod)){}
   fp operator-()const{return fp(-v);}
   fp pow(ll t){fp res=1,b=*this; while(t){if(t&1)res*=b;b*=b;t>>=1;} return res;}
   fp& operator+=(const fp& x){if((v+=x.v)>=mod)v-=mod; return *this;}
   fp& operator-=(const fp& x){if((v+=mod-x.v)>=mod)v-=mod; return *this;}
   fp& operator*=(const fp& x){v=ll(v)*x.v%mod; return *this;}
   fp& operator/=(const fp& x){v=ll(v)*x.inv()%mod; return *this;}
   fp operator+(const fp& x)const{return fp(*this)+=x;}
   fp operator-(const fp& x)const{return fp(*this)-=x;}
   fp operator*(const fp& x)const{return fp(*this)*=x;}
   fp operator/(const fp& x)const{return fp(*this)/=x;}
   bool operator==(const fp& x)const{return v==x.v;}
   bool operator!=(const fp& x)const{return v!=x.v;}
}; using Fp=fp<>;

template<typename T>struct factorial {
   vector<T> Fact,Finv,Inv;
   factorial(int maxx){
      Fact.resize(maxx); Finv.resize(maxx); Inv.resize(maxx);
      Fact[0]=Fact[1]=Finv[0]=Finv[1]=Inv[1]=1;
      rep(i,2,maxx){Fact[i]=Fact[i-1]*i;} Finv[maxx-1]=Fact[maxx-1].inv();
      for(int i=maxx-1;i>=2;i--){Finv[i-1]=Finv[i]*i; Inv[i]=Finv[i]*Fact[i-1];}
   }
   T fact(int n,bool inv=0){if(inv)return Finv[n];else return Fact[n];}
   T inv(int n){return Inv[n];}
   T nPr(int n,int r){if(n<0||n<r||r<0)return Fp(0);else return Fact[n]*Finv[n-r];}
   T nCr(int n,int r){if(n<0||n<r||r<0)return Fp(0);else return Fact[n]*Finv[r]*Finv[n-r];}
};

template<typename T,unsigned p>struct NTT{
   vector<T> rt,irt;
   NTT(int lg=21){
      const unsigned m=T(-1).v; T prt=p;
      rt.resize(1<<lg,1); irt.resize(1<<lg,1);
      for(int w=0;w<lg;w++){
         int mask=1<<w; T g=prt.pow(m>>w),ig=g.inv();
         for(int i=0;i<mask-1;i++){
            rt[mask+i+1]=g*rt[mask+i];
            irt[mask+i+1]=ig*irt[mask+i];
         }
      }
   }
   void ntt(vector<T>& f,bool inv=0){
      int n=f.size();
      if(inv){
         for(int i=1;i<n;i<<=1)for(int j=0;j<n;j+=i*2)for(int k=0;k<i;k++){
            f[i+j+k]*=irt[i*2+k]; T tmp=f[j+k]-f[i+j+k];
            f[j+k]+=f[i+j+k]; f[i+j+k]=tmp;
         } T mul=T(n).inv(); rep(i,0,n)f[i]*=mul;
      }else{
         for(int i=n>>1;i;i>>=1)for(int j=0;j<n;j+=i*2)for(int k=0;k<i;k++){
            T tmp=f[j+k]-f[i+j+k]; f[j+k]+=f[i+j+k]; f[i+j+k]=tmp*rt[i*2+k];
         }
      }
   }
   vector<T> conv(vector<T> a,vector<T> b,bool same){
      if(a.empty() and b.empty())return vector<T>();
      int n=a.size()+b.size()-1,m=1; while(m<n)m<<=1;
      a.resize(m); ntt(a);
      if(same)rep(i,0,m)a[i]*=a[i];
      else{b.resize(m); ntt(b); rep(i,0,m)a[i]*=b[i];}
      ntt(a,1); a.resize(n); return a;
   }
};
NTT<Fp,3> ntt; inline vector<Fp> multiply(vector<Fp> a,vector<Fp> b,bool same=0){return ntt.conv(a,b,same);};

factorial<Fp> fact(1048576);
template<typename T>struct Poly{
   vector<T> f;
   Poly(){}
   Poly(int _n):f(_n){}
   Poly(vector<T> _f){f=_f;}
   T& operator[](const int i){return f[i];}
   T eval(T x){T res,w=1; for(T v:f)res+=w*v,w*=x; return res;}
   int size()const{return f.size();}
   Poly resize(int n){Poly res=*this; res.f.resize(n); return res;}
   void shrink(){while(!f.empty() and f.back()==0)f.pop_back();}
   Poly inv()const{
      assert(f[0]!=0); int n=f.size(); Poly res(1); res[0]=f[0].inv();
      for(int k=1;k<n;k<<=1){
         Poly g=res,h=*this; h=h.resize(k*2); res=res.resize(k*2);
         g=(g.square()*h).resize(k*2); rep(i,k,min(k*2,n))res[i]-=g[i];
      } return res;
   }
   Poly square(){return Poly(multiply(f,f,1));}
   Poly operator+(const Poly& g)const{return Poly(*this)+=g;}
   Poly operator-(const Poly& g)const{return Poly(*this)-=g;}
   Poly operator*(const Poly& g)const{return Poly(*this)*=g;}
   Poly operator/(const Poly& g)const{return Poly(*this)/=g;}
   Poly operator%(const Poly& g)const{return Poly(*this)%=g;}
   Poly& operator+=(Poly g){
      if(g.size()>f.size())f.resize(g.size());
      rep(i,0,g.size())f[i]+=g[i]; shrink(); return *this;
   }
   Poly& operator-=(Poly g){
      if(g.size()>f.size())f.resize(g.size());
      rep(i,0,g.size())f[i]-=g[i]; shrink(); return *this;
   }
   Poly& operator*=(Poly g){f=multiply(f,g.f); shrink(); return *this;}
   Poly& operator/=(Poly g){
      if(g.size()>f.size())return *this=Poly();
      reverse(ALL(f)); reverse(ALL(g.f));
      int n=f.size()-g.size()+1;
      f.resize(n); g.f.resize(n);
      *this*=g.inv(); f.resize(n);
      reverse(ALL(f)); shrink(); return *this;
   }
   Poly& operator%=(Poly g){*this-=*this/g*g; shrink(); return *this;}
   Poly diff(){Poly res(f.size()-1); rep(i,0,res.size())res[i]=f[i+1]*(i+1); return res;}
   Poly inte(){Poly res(f.size()+1); for(int i=res.size()-1;i;i--)res[i]=f[i-1]*fact.inv(i); return res;}
   Poly log(){
      assert(f[0]==1); int n=f.size(); Poly res=diff()*inv(); 
      res=res.inte(); return res.resize(n);
   }
   Poly exp(){
      assert(f[0]==0); int n=f.size();
      Poly res(1),g(1); res[0]=g[0]=1;
      for(int k=1;k<n;k<<=1){
         g=(g+g-g.square()*res).resize(k);
         Poly q=resize(k).diff();
         Poly w=(q+g*(res.diff()-res*q)).resize(2*k-1);
         res=(res+res*(resize(k*2)-w.inte())).resize(2*k);
      } return res.resize(n);
   }
   Poly shift(int c){
      int n=f.size(); Poly res=*this,mul(n); mul[1]=c; mul=mul.exp();
      rep(i,0,n)res[i]*=fact.fact(i); reverse(ALL(res.f)); 
      res*=mul; res=res.resize(n); reverse(ALL(res.f));
      rep(i,0,n)res[i]*=fact.fact(i,1); return res;
   }
};

template<typename T>struct Multipoint_evaluation{
   int n; vector<T> xs; vector<Poly<T>> buf;
   Multipoint_evaluation(){}
   Multipoint_evaluation(const vector<T>& _xs):n(_xs.size()),xs(_xs),buf(4*n){pre(0,n,1);}
   void pre(int l,int r,int k){
      if(r-l==1){buf[k].f={xs[l]*-1,1}; return;}
      int m=(l+r)>>1; pre(l,m,k*2); pre(m,r,k*2+1);
      buf[k]=buf[k*2]*buf[k*2+1];
   }
   vector<T> run(const Poly<T>& f){
      vector<T> res(n);
      function<void(Poly<T>,int,int,int)> dfs=[&](Poly<T> g,int l,int r,int k){
         g%=buf[k]; if(r-l<=128){rep(i,l,r)res[i]=g.eval(xs[i]); return;}
         int m=(l+r)>>1; dfs(g,l,m,k*2); dfs(g,m,r,k*2+1);
      }; dfs(f,0,n,1); return res;
   }
   Poly<T> build(const vector<T>& ys){
      Poly<T> w=buf[1].diff(); auto vs=run(w);
      function<Poly<T>(int,int,int)> dfs=[&](int l,int r,int k){
         if(r-l==1){Poly<T> res(1); res[0]=ys[l]/vs[l]; return res;}
         int m=(l+r)>>1; return buf[k*2+1]*dfs(l,m,k*2)+buf[k*2]*dfs(m,r,k*2+1);
      }; Poly<T> res=dfs(0,n,1); res.resize(n); return res;
   }
};

int main(){
   int n,q; cin>>n>>q;
   vector<Fp> a(n);
   rep(i,0,n){
      ll x; cin>>x;
      a[i]=Fp(-x+1);
   }
   Multipoint_evaluation<Fp> mul(a);
   auto res=mul.buf[1];
   rep(_,0,q){
      int x; cin>>x;
      cout<<res[x].v<<endl;
   }
   return 0;
}
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