#include using namespace std; using Int = long long; //BEGIN CUT HERE template struct Mint{ 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; } 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-(){return v?MOD-v:v;} bool operator==(const Mint a)const{return v==a.v;} bool operator!=(const Mint a)const{return v!=a.v;} static vector fact,finv,invs; static void init(int n){ if(n+1<=(signed)fact.size()) return; fact.assign(n+1,1); finv.assign(n+1,1); invs.assign(n+1,1); for(int i=1;i<=n;i++) fact[i]=fact[i-1]*Mint(i); finv[n]=Mint(1)/fact[n]; for(int i=n;i>=1;i--) finv[i-1]=finv[i]*Mint(i); for(int i=1;i<=n;i++) invs[i]=finv[i]*fact[i-1]; } static Mint comb(long long n,int k){ Mint res(1); for(int i=0;i > D(int n,int m){ vector > dp(n+1,vector(m+1,0)); dp[0][0]=Mint(1); for(int i=0;i<=n;i++){ for(int j=1;j<=m;j++){ if(i-j>=0) dp[i][j]=dp[i][j-1]+dp[i-j][j]; else dp[i][j]=dp[i][j-1]; } } return dp; } static Mint B(int n,int k){ Mint res; for(int j=1;j<=k;j++) res+=S(n,j); return res; } static Mint montmort(int n){ Mint res; init(n); for(int k=2;k<=n;k++){ if(k&1) res-=finv[k]; else res+=finv[k]; } return res*=fact[n]; } static Mint LagrangePolynomial(vector &y,Mint t){ int n=y.size()-1; if(t.v<=n) return y[t.v]; init(n+1); Mint num(1); for(int i=0;i<=n;i++) num*=t-Mint(i); Mint res; for(int i=0;i<=n;i++){ Mint tmp=y[i]*num/(t-Mint(i))*finv[i]*finv[n-i]; if((n-i)&1) res-=tmp; else res+=tmp; } return res; } }; template vector > Mint::fact = vector >(); template vector > Mint::finv = vector >(); template vector > Mint::invs = vector >(); //END CUT HERE template map factorize(T x){ map res; for(int i=2;i*i<=x;i++){ while(x%i==0){ x/=i; res[i]++; } } if(x!=1) res[x]++; return res; } //INSERT ABOVE HERE signed ABC110_D(){ int n; using M = Mint; M m; scanf("%d %d",&n,&m.v); M::init(n+100); Mint ans(1); auto x=factorize(m.v); for(auto p:x) ans*=M::H(n,p.second); printf("%d\n",ans.v); return 0; } /* verified on 2018/09/24 https://beta.atcoder.jp/contests/abc110/tasks/abc110_d */ //montmort signed ARC009_C(){ Int n,k; scanf("%lld %lld",&n,&k); const int MMOD = 1777777777; using MM = Mint; MM a=MM::montmort(k)*MM::comb(n,k); printf("%lld\n",a.v); return 0; } /* verified on 2018/09/24 https://beta.atcoder.jp/contests/arc009/tasks/arc009_3 */ signed ARC033_D(){ int n; scanf("%d",&n); using M = Mint; vector y(n+1); for(Int i=0;i<=n;i++) scanf("%d",&y[i].v); int t; scanf("%d",&t); printf("%d\n",(t<=n?y[t]:M::LagrangePolynomial(y,M(t))).v); return 0; } /* verified on 2018/09/24 https://beta.atcoder.jp/contests/arc033/tasks/arc033_4 */ signed DPL_5_A(){ int n; Mint k; scanf("%d %d",&n,&k.v); printf("%d\n",k.pow(n).v); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_A&lang=jp */ signed DPL_5_B(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",Mint::P(k,n).v); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_B&lang=jp */ signed DPL_5_C(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",(Mint::S(n,k)*Mint::fact[k]).v); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_C&lang=jp */ signed DPL_5_D(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",Mint::H(k,n).v); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_D&lang=jp */ signed DPL_5_E(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",Mint::C(k,n).v); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_E&lang=jp */ signed DPL_5_F(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",Mint::C(n-1,k-1).v); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_F&lang=jp */ signed DPL_5_G(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",Mint::B(n,k).v); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_G&lang=jp */ signed DPL_5_H(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",(n<=k)); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_H&lang=jp */ signed DPL_5_I(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",Mint::S(n,k).v); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_I&lang=jp */ signed DPL_5_J(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",Mint::D(n,k)[n][k].v); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_J&lang=jp */ signed DPL_5_K(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",(n<=k)); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_K&lang=jp */ signed DPL_5_L(){ int n,k; scanf("%d %d",&n,&k); printf("%d\n",n>=k?Mint::D(n,k)[n-k][k].v:0); return 0; } /* verified on 2018/09/24 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DPL_5_L&lang=jp */ signed YUKI_117(){ int T; scanf("%d\n",&T); using M = Mint; M::init(2e6+100); while(T--){ char c; int n,k; scanf("%c(%d,%d)\n",&c,&n,&k); if(c=='C') printf("%d\n",M::C(n,k).v); if(c=='P') printf("%d\n",M::P(n,k).v); if(c=='H') printf("%d\n",M::H(n,k).v); } return 0; } /* verified on 2018/11/10 https://yukicoder.me/problems/no/117 */ signed YUKI_042(){ using M = Mint; const int MAX = 666 * 6 + 10; M dp[MAX]; for(int j=0;j a({1,5,10,50,100,500}); for(int x:a) for(int j=x;j y(6); for(int i=0;i<6;i++) y[i]=dp[(m%500)+(i*500)]; M ans=M::LagrangePolynomial(y,M(m/500)); printf("%d\n",ans.v); } return 0; } /* verified on 2018/11/10 https://yukicoder.me/problems/no/117 */ signed main(){ //ABC110_D(); //ARC009_C(); //ARC033_D(); //DPL_5_A(); //DPL_5_B(); //DPL_5_C(); //DPL_5_D(); //DPL_5_E(); //DPL_5_F(); //DPL_5_G(); //DPL_5_H(); //DPL_5_I(); //DPL_5_J(); //DPL_5_K(); //DPL_5_L(); //YUKI_117(); YUKI_042(); return 0; }