#ifndef call_from_test #include using namespace std; #endif //BEGIN CUT HERE template M lagrange_interpolation(vector &y,M t){ int n=y.size()-1; if(t.v<=n) return y[t.v]; vector dp(n+1,1),pd(n+1,1); for(int i=0;i0;i--) pd[i-1]=pd[i]*(t-M(i)); vector 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 using namespace std; #endif //BEGIN CUT HERE template 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 constexpr T Mint::mod; template ostream& operator<<(ostream &os,Mint m){os<>h>>w>>k; using M = Mint; M ans{0}; for(int d=1;d; vector 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; const int MAX = 666 * 6 + 10; vector dp(MAX,0); dp[0]=M(1); for(int x:{1,5,10,50,100,500}) for(int j=x;j 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