#include using namespace std; using Int = long long; template inline void chmin(T1 &a,T2 b){if(a>b) a=b;} template inline void chmax(T1 &a,T2 b){if(a 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;} bool operator <(const Mint a)const{return v dp; dp.reserve(sq); Mint res(1); for(int r=0;r0) return idx; } res*=p; } return T(-1); } 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 >(); //INSERT ABOVE HERE using M = Mint; const int MAX = 2e5+100; // aho M dp1[2][2][3][MAX]; bool used1[2][2][3][MAX]; M dfs1(string &s,int t,int f,int x,int i){ M &res=dp1[t][f][x][i]; if(used1[t][f][x][i]) return res; dp1[t][f][x][i]=0; used1[t][f][x][i]=1; if(i==(int)s.size()) return res=M(f||!x); for(int k=0;k<=(t?s[i]-'0':9);k++) res+=dfs1(s,t&&(k==s[i]-'0'),f||(k==3),(x*10+k)%3,i+1); return res; } M solve1(string a,string b){ M res; memset(used1,0,sizeof(used1)); res+=dfs1(b,1,0,0,0); memset(used1,0,sizeof(used1)); res-=dfs1(a,1,0,0,0); int thr=count(a.begin(),a.end(),'3'); int tmp=0; for(int i=0;i<(int)a.size();i++) tmp=(tmp*10+a[i]-'0')%3; if(thr||!tmp) res+=M(1); return res; } // aho & haji M dp2[2][2][3][8][MAX]; bool used2[2][2][3][8][MAX]; M dfs2(string &s,int t,int f,int x,int y,int i){ M &res=dp2[t][f][x][y][i]; if(used2[t][f][x][y][i]) return res; dp2[t][f][x][y][i]=0; used2[t][f][x][y][i]=1; if(i==(int)s.size()) return res=M((f||!x)&&!y); for(int k=0;k<=(t?s[i]-'0':9);k++) res+=dfs2(s,t&&(k==s[i]-'0'),f||(k==3),(x*10+k)%3,(y*10+k)%8,i+1); return res; } M solve2(string a,string b,int p){ M res; int thr=count(a.begin(),a.end(),'3'); int tmp=0,ppp=0; for(int i=0;i<(int)a.size();i++){ tmp=(tmp*10+a[i]-'0')%3; ppp=(ppp*10+a[i]-'0')%p; } if((thr||!tmp)&&!ppp) res+=M(1); while(p%10==0){ if(!a.empty()) a.pop_back(); if(!b.empty()) b.pop_back(); p/=10; } assert(p==8); memset(used2,0,sizeof(used2)); res+=dfs2(b,1,0,0,0,0); memset(used2,0,sizeof(used2)); res-=dfs2(a,1,0,0,0,0); return res; } signed main(){ string a,b; int p; cin>>a>>b>>p; M ans; ans+=solve1(a,b); ans-=solve2(a,b,p); cout<