#include // c #include // io #include #include #include #include // container #include #include #include #include #include #include // other #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned long long ull; #define ALL(c) (begin(c)),(end(c)) #define REP(i,n) FOR(i,0,n) #define REPr(i,n) FORr(i,0,n) #define FOR(i,l,r) for(int i=(int)(l);i<(int)(r);++i) #define FORr(i,l,r) for(int i=(int)(r)-1;i>=(int)(l);--i) #define EACH(it,o) for(auto it = (o).begin(); it != (o).end(); ++it) #define IN(l,v,r) ((l)<=(v) && (v)<(r)) #define UNIQUE(v) v.erase(unique(ALL(v)),v.end()) //debug #define DUMP(x) cerr << #x << " = " << (x) #define LINE() cerr<< " (L" << __LINE__ << ")" class range { private: struct Iter{ int v; int operator*(){return v;} bool operator!=(Iter& itr) {return v < itr.v;} void operator++() {++v;} }; Iter i, n; public: range(int n) : i({0}), n({n}) {} range(int i, int n) : i({i}), n({n}) {} Iter& begin() {return i;} Iter& end() {return n;} }; //input template istream& operator >> (istream& is,pair& p){is>>p.first>>p.second;return is;} template istream& operator >> (istream& is,tuple& t){is >> get<0>(t);return is;} template istream& operator >> (istream& is,tuple& t){is >> get<0>(t) >> get<1>(t);return is;} template istream& operator >> (istream& is,tuple& t){is >>get<0>(t)>>get<1>(t)>>get<2>(t);return is;} template istream& operator >> (istream& is,tuple& t){is >> get<0>(t)>>get<1>(t)>>get<2>(t)>>get<3>(t);return is;} template istream& operator >> (istream& is, const tuple& t){is >> get<0>(t) >> get<1>(t) >> get<2>(t) >> get<3>(t) >> get<4>(t);return is;} template istream& operator >> (istream& is, const tuple& t){is >> get<0>(t) >> get<1>(t) >> get<2>(t) >> get<3>(t) >> get<4>(t) >> get<5>(t);return is;} template istream& operator >> (istream& is, const tuple& t){is >> get<0>(t) >> get<1>(t) >> get<2>(t) >> get<3>(t) >> get<4>(t) >> get<5>(t) >> get<6>(t);return is;} template istream& operator >> (istream& is,vector& as){REP(i,as.size())is >>as[i];return is;} //output template ostream& operator << (ostream& os, const set& ss){for(auto a:ss){if(a!=ss.begin())os<<" "; os< ostream& operator << (ostream& os, const pair& p){os< ostream& operator << (ostream& os, const map& m){bool isF=true;for(auto& p:m){if(!isF)os< ostream& operator << (ostream& os, const tuple& t){os << get<0>(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t)<<" "<(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const vector& as){REP(i,as.size()){if(i!=0)os<<" "; os< ostream& operator << (ostream& os, const vector>& as){REP(i,as.size()){if(i!=0)os< T INF(){assert(false);}; template<> int INF(){return 1<<28;}; template<> ll INF(){return 1LL<<58;}; template<> double INF(){return 1e16;}; template<> long double INF(){return 1e16;}; template T EPS(){assert(false);}; template<> int EPS(){return 1;}; template<> ll EPS(){return 1LL;}; template<> double EPS(){return 1e-8;}; template<> long double EPS(){return 1e-8;}; template T pmod(T v,U M){return (v%M+M)%M;} template class modU{ public: inline ll pmod(ll v){return (v%M+M)%M;} inline ll ainv(ll a){return pmod(-a);} inline ll add(ll a,ll b){return pmod(a+b);} inline ll mul(ll a,ll b){return pmod(a*b);} ll pow(ll x, ll N){ ll res=1; while(N>0){ if(N%2)res=mul(res,x); x=mul(x,x); N/=2; } return res; } //O(logM) inline ll minv(ll a){return pow(a,M-2);} // O(M) vector minvs(){ vector inv(M + 1);inv[1] = 1; for (int i = 2; i <= M; ++i)inv[i] = mul(inv[M % i],M - M / i); return inv; } //O(N) 条件 N>=0 vector factmemo=vector(2000050,-1); inline ll fact(const int N){ factmemo[0]=1; int l = N; while(factmemo[l]==-1)l--; for(int v:range(l,N)) factmemo[v+1]=mul(v+1,factmemo[v]); return factmemo[N]; } //条件 N>=0 inline ll nPr(const int N,const int r){ if(r>N)return 0; return mul(fact(N),minv(fact(N-r))); } inline ll nCr(const int N,const int r){ if(N<0){ if(0 <= r) return (r%2?-1:+1)*nCr(-N +r-1,r); else if(r<=N) return ((N-r)%2?-1:+1)*nCr(-r-1,N-r); else return 0; } if(0<= r && r<=N) return mul(mul(fact(N),minv(fact(r))),minv(fact(N-r))); return 0; } // O(N^2) (no mod N<=66) vector> nCrs(const int N){ vector> c(N,vector(N,0));for(int i:range(0,N))c[i][0]=1; for(int i :range(1,N))for(int j:range(1,N)) c[i][j] = add(c[i-1][j-1],c[i-1][j]); return c; } }; ll MOD = 1e9+7; // 下三桁 class Main{ public: modU<> mu; ll aho(string s){ // bounded されている? vector>> dp(2,vector>(3,vector(2))); dp[1][0][0]=1; for(int i=0;i>> ndp(2,vector>(3,vector(2))); for(int v=0;v<=9;v++){ for(int b=0;b<2;b++)for(int m3=0;m3<3;m3++)for(int ex3=0;ex3<2;ex3++){ if(v < s[i]-'0'){ ndp[0][(m3+v)%3][ex3 || v==3]+= dp[b][m3][ex3]; ndp[0][(m3+v)%3][ex3 || v==3]%=MOD; }else if(v == s[i]-'0'){ ndp[b][(m3+v)%3][ex3 || v==3]+= dp[b][m3][ex3]; ndp[b][(m3+v)%3][ex3 || v==3]%=MOD; }else if(v > s[i]-'0' && !b){ ndp[b][(m3+v)%3][ex3 || v==3]+= dp[b][m3][ex3]; ndp[b][(m3+v)%3][ex3 || v==3]%=MOD; } } } dp = ndp; } ll res = 0; for(int b=0;b<2;b++)for(int m3=0;m3<3;m3++)for(int ex3=0;ex3<2;ex3++){ if((m3==0 || ex3))res+=dp[b][m3][ex3],res%=MOD; } return res; } ll cnt(string s,int p){ // bounded されている? vector>>> dp(2,vector>>(3,vector>(2,vector(8)))); dp[1][0][0][0]=1; for(int i=0;i>>> ndp(2,vector>>(3,vector>(2,vector(8)))); for(int v=0;v<=9;v++){ for(int b=0;b<2;b++)for(int m3=0;m3<3;m3++)for(int ex3=0;ex3<2;ex3++){ if(s.size()-p-i<=3)for(int m8=0;m8<8;m8++){ ll pw = mu.pow(10,min(s.size()-p - 1 - i,3)); if(v < s[i]-'0'){ ndp[0][(m3+v)%3][ex3 || v==3][(m8+v*pw)%8]+= dp[b][m3][ex3][m8]; ndp[0][(m3+v)%3][ex3 || v==3][(m8+v*pw)%8]%=MOD; }else if(v == s[i]-'0'){ ndp[b][(m3+v)%3][ex3 || v==3][(m8+v*pw)%8]+= dp[b][m3][ex3][m8]; ndp[b][(m3+v)%3][ex3 || v==3][(m8+v*pw)%8]%=MOD; }else if(v > s[i]-'0' && !b){ ndp[b][(m3+v)%3][ex3 || v==3][(m8+v*pw)%8]+= dp[b][m3][ex3][m8]; ndp[b][(m3+v)%3][ex3 || v==3][(m8+v*pw)%8]%=MOD; } }else{ if(v < s[i]-'0'){ ndp[0][(m3+v)%3][ex3 || v==3][0]+= dp[b][m3][ex3][0]; ndp[0][(m3+v)%3][ex3 || v==3][0]%=MOD; }else if(v == s[i]-'0'){ ndp[b][(m3+v)%3][ex3 || v==3][0]+= dp[b][m3][ex3][0]; ndp[b][(m3+v)%3][ex3 || v==3][0]%=MOD; }else if(v > s[i]-'0' && !b){ ndp[b][(m3+v)%3][ex3 || v==3][0]+= dp[b][m3][ex3][0]; ndp[b][(m3+v)%3][ex3 || v==3][0]%=MOD; } } } } dp = ndp; } ll res = 0; for(int b=0;b<2;b++)for(int m3=0;m3<3;m3++)for(int ex3=0;ex3<2;ex3++)for(int m8=0;m8<8;m8++){ if((m3==0 || ex3) && m8==0)res+=dp[b][m3][ex3][m8],res%=MOD; } return res; } void run(){ string a,b;cin >> a >> b; int p;cin >> p; int d = p==800?2:p==80?1:0; // -1 for(int i=a.size()-1;i>=0;i--){ if(a[i]=='0')a[i]='9'; else{ a[i]--;break; } } cout << mu.pmod(mu.pmod(aho(b)-cnt(b,d)) - mu.pmod(aho(a)-cnt(a,d)))<