#ifdef LOGX #define _GLIBCXX_DEBUG #endif #include using namespace std; //#include //using namespace atcoder; /*---------macro---------*/ #define rep(i, n) for (int i = 0; i < (int)(n); ++i) #define rep2(i, s, n) for (int i = s; i < (int)(n); ++i) #define Clear(a) a = decltype(a)() #define all(a) begin(a),end(a) #define rall(a) rbegin(a),rend(a) #define bit(i,j) (((i)>>(j))&1) /*---------type/const---------*/ typedef long long ll; typedef unsigned long long ull; typedef string::const_iterator state; //構文解析 const ll big=1000000007; //const ll big=998244353; const double PI=acos(-1); const double EPS=1e-8;//適宜変える const int dx[4]={1,0,-1,0}; const int dy[4]={0,1,0,-1}; const char newl='\n'; struct{ constexpr operator int(){return -int(1e9)-1;} constexpr operator ll(){return -ll(1e18)-1;} }neginf; struct{ constexpr operator int(){return int(1e9)+1;} constexpr operator ll(){return ll(1e18)+1;} constexpr auto operator -(){return neginf;} }inf; /*---------debug用関数---------*/ #ifdef LOGX #define dbg(x) cout << #x << ':',prt(x); template inline void prt(T a_); template inline void _prt(T a_); template inline void _prt(map a_); template inline void _prt(unordered_map a_); template inline void _prt(set a_); template inline void _prt(unordered_set a_); template inline void _prt(pair a_); template inline void _prt(vector &a_); template inline void _prt(vector> &a_); //_prtでは改行しない. inline void _prt(bool a_){if(a_)cout<<1;else cout<<0;} inline void _prt(int a_){if(a_>=(int)inf)cout << "inf";else if(a_<=-(int)inf)cout << "-inf";else cout << a_;} inline void _prt(long long a_){if(a_>=(ll)inf)cout << "INF";else if(a_<=-(ll)inf)cout << "-INF";else cout << a_;} #ifdef ATCODER_MODINT_HPP templateinline void _prt(static_modint x){cout << x.val();} templateinline void _prt(dynamic_modint x){cout << x.val();} #endif template inline void _prt(T a_){cout << a_;} template inline void _prt(map a_){cout<<'{';auto it=a_.begin();while(it!=a_.end()){_prt((*it).first);cout<<':';_prt((*(it++)).second);cout<<(it==a_.end() ? "":",");}cout<<'}';} template inline void _prt(unordered_map a_){cout<<'{';auto it=a_.begin();while(it!=a_.end()){_prt((*it).first);cout<<':';_prt((*(it++)).second);cout<<(it==a_.end() ? "":",");}cout<<'}';} template inline void _prt(set a_){cout<<'{';auto it=a_.begin();while(it!=a_.end()){_prt(*it++);cout<<(it==a_.end() ? "":",");}cout<<'}';} template inline void _prt(unordered_set a_){cout<<'{';auto it=a_.begin();while(it!=a_.end()){_prt(*it++);cout<<(it==a_.end() ? "":",");}cout<<'}';} template inline void _prt(pair a_){cout << '(';_prt(a_.first);cout << ',';_prt(a_.second);cout << ')';} template inline void _prt(vector &a_){cout<<'{';for(int i=0;i<(int)a_.size();i++){_prt(a_[i]);if(i+1<(int)a_.size())cout<<',';}cout<<'}';} template inline void _prt(vector> &a_){cout<<"{\n";for(int i=0;i<(int)a_.size();i++){_prt(a_[i]);if(i+1<(int)a_.size())cout<<",\n";else cout<<"\n}";}} template inline void prt(T a_){_prt(a_);cout<<'\n';} #else #define dbg(x) ; #define prt(x) ; #define _prt(x) ; #endif /*---------function---------*/ template T max(const T x,const U y){if(x>y)return x;else return y;} template T min(const T x,const U y){if(x T max(const vector &a){T ans=a[0];for(T elem:a){ans=max(ans,elem);}return ans;} template T min(const vector &a){T ans=a[0];for(T elem:a){ans=min(ans,elem);}return ans;} template bool chmin(T &a,const U b){if(a>b){a=b;return true;}return false;} template bool chmax(T &a,const U b){if(a T expm(T x,U y,const ll mod=big){ T res=1; while(y){ if(y&1)(res*=x)%=mod; (x*=x)%=mod; y>>=1; } return res; } template T exp(T x,U y){ T res=1; while(y){ if(y&1)res*=x; x*=x; y>>=1; } return res; } /* 実行時modint: template struct Fp{}; int main(){ static int mod;cin >> mod; using mint = Fp; } */ template struct Fp{ long long x; constexpr Fp(const long long _x=0)noexcept:x((_x%mod+mod)%mod){} constexpr Fp operator-()const noexcept{ return x ? mod-x:0; } friend constexpr Fp& operator+=(Fp &l,const Fp r)noexcept{ l.x+=r.x; if(l.x>=mod)l.x-=mod; return l; } friend constexpr Fp& operator-=(Fp &l,const Fp r)noexcept{ l.x-=r.x; if(l.x<0)l.x+=mod; return l; } //modが十分小さい場合 friend constexpr Fp& operator*=(Fp &l,const Fp r)noexcept{ l.x=l.x*r.x %mod; return l; } //modが巨大な場合 /* friend constexpr Fp prod(Fp l,long long r)noexcept{ if(r==0)return 0; Fp res=prod(l+=l,r>>1); if(r&1)res+=l; return res; } friend constexpr Fp& operator*=(Fp &l,const Fp r)noexcept{ return l=prod(l,r.x); } */ friend constexpr Fp& operator/=(Fp &l,const Fp r)noexcept{ long long a=r.x,b=mod,u=1,v=0; while(b){ ll t=a/b; a-=t*b;swap(a,b); u-=t*v;swap(u,v); } l.x=l.x*u%mod; if(l.x<0)l.x+=mod; return l; } friend constexpr Fp operator+(Fp l,const Fp r){ return l+=r; } friend constexpr Fp operator-(Fp l,const Fp r){ return l-=r; } friend constexpr Fp operator*(Fp l,const Fp r){ return l*=r; } friend constexpr Fp operator/(Fp l,const Fp r){ return l/=r; } #ifdef LOGX friend constexpr bool operator==(const Fp l,const Fp r){ return l.x==r.x; } friend constexpr bool operator!=(const Fp l,const Fp r){ return l.x!=r.x; } #endif friend constexpr ostream& operator<<(ostream &os,const Fp &r)noexcept{ return os << r.x; } friend constexpr istream& operator>>(istream &is,Fp &r)noexcept{ ll t=0;is >> t; r.x=(Fp(t)).x; return is; } }; using mint = Fp;//////////////////////////// template mint com(const T a,const U b){ if(a fac,facinv; void init(const int n_){ fac.resize(n_,1); facinv.resize(n_,1); fac[0]=facinv[0]=1; for(int i=1;i mint coms(T a,U b){ if(a val(int x){ if(x==0)return {2,2}; int t=0; while(x%2==0){ x/=2; t++; } int f=0; while(x%5==0){ x/=5; f++; } return {min(t,2),min(f,2)}; } int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); cout.precision(10); /*--------------------------------*/ string s;cin >> s; vector ans(s.size(),vector(3,vector(3)));//ちょうど. auto ans2=ans;//小さい. rep2(i,1,s[0]-'0'){ auto [x,y]=val(i); ans2[0][x][y]+=1; } auto [x,y]=val(s[0]-'0'); ans[0][x][y]=1; rep(i,s.size()-1){ //0からの遷移. rep2(j,1,10){ auto[x,y]=val(j); ans2[i+1][x][y]+=1; } //0以外からの遷移. //ansから. rep2(j,1,s[i+1]-'0'){ auto[x,y]=val(j); rep(k,3)rep(l,3){ ans2[i+1][min(k+x,2)][min(l+y,2)]+=ans[i][k][l]; } } if(s[i+1]!='0'){ int j=s[i+1]-'0'; auto[x,y]=val(j); rep(k,3)rep(l,3){ ans[i+1][min(k+x,2)][min(l+y,2)]+=ans[i][k][l]; } } //ans2から. rep2(j,1,10){ auto[x,y]=val(j); rep(k,3)rep(l,3){ ans2[i+1][min(k+x,2)][min(l+y,2)]+=ans2[i][k][l]; } } } dbg(ans); dbg(ans2); cout << ans.back().back().back()+ans2.back().back().back() << newl; }