#include using namespace std; #define rep(i,n) for(ll i=0;i=0;i--) #define perl(i,r,l) for(ll i=r-1;i>=l;i--) #define fi first #define se second #define pb push_back #define ins insert #define pqueue(x) priority_queue,greater> #define all(x) (x).begin(),(x).end() #define CST(x) cout<> #define rev(x) reverse(x); using ll=long long; using vl=vector; using vvl=vector>; using pl=pair; using vpl=vector; using vvpl=vector; const ll MOD=1000000007; const ll MOD9=998244353; const int inf=1e9+10; const ll INF=4e18; const ll dy[9]={0,1,-1,0,1,1,-1,-1,0}; const ll dx[9]={1,0,0,-1,1,-1,1,-1,0}; template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } const int mod = 1000000007; const int max_n = 200005; struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } bool operator==(const mint &p) const { return x == p.x; } bool operator!=(const mint &p) const { return x != p.x; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} using vm=vector; using vvm=vector; ll P=800; mint solve(string s){ while(s.size()<20)s="0"+s; string t; while(t.size()<10){ t+=s.back(); s.pop_back(); } rev(all(t)); ll n=s.size(); mint dp[n+1][3][2][2];//mod3,3を含むか,smaller rep(i,n+1)rep(j,3)rep(k,2)rep(l,2)dp[i][j][k][l]=0; dp[0][0][0][0]=1; rep(i,n){ ll p=s[i]-'0'; rep(j,3){ rep(k,10){ if(k==3){ rep(l,2)dp[i+1][(j+k)%3][1][1]+=dp[i][j][l][1]; } else { rep(l,2)dp[i+1][(j+k)%3][l][1]+=dp[i][j][l][1]; } } rep(k,p){ if(k==3){ rep(l,2)dp[i+1][(j+k)%3][1][1]+=dp[i][j][l][0]; } else { rep(l,2)dp[i+1][(j+k)%3][l][1]+=dp[i][j][l][0]; } } if(p==3){ rep(l,2)dp[i+1][(j+p)%3][1][0]+=dp[i][j][l][0]; } else{ rep(l,2)dp[i+1][(j+p)%3][l][0]+=dp[i][j][l][0]; } } } /*mint ans=0; rep(i,3)rep(j,2)rep(k,2){ cout << dp[n][i][j][k] << endl; if(i==0||j==1)ans+=dp[n][i][j][k]; } return ans;*/ ll m=t.size(); mint ndp[m+1][3][2][2][P];//さらにmodpを加える rep(i,m+1)rep(j,3)rep(k,2)rep(l,2)rep(t,P)ndp[i][j][k][l][t]=0; rep(i,3)rep(j,2)rep(k,2)ndp[0][i][j][k][0]+=dp[n][i][j][k]; rep(i,m){ ll p=t[i]-'0'; rep(j,3){ rep(k,P){ rep(to,10){ if(to==3){ rep(l,2)ndp[i+1][(j+to)%3][1][1][(k*10+to)%P]+=ndp[i][j][l][1][k]; } else{ rep(l,2)ndp[i+1][(j+to)%3][l][1][(k*10+to)%P]+=ndp[i][j][l][1][k]; } } rep(to,p){ if(to==3){ rep(l,2)ndp[i+1][(j+to)%3][1][1][(k*10+to)%P]+=ndp[i][j][l][0][k]; } else{ rep(l,2)ndp[i+1][(j+to)%3][l][1][(k*10+to)%P]+=ndp[i][j][l][0][k]; } } if(p==3){ rep(l,2)ndp[i+1][(j+p)%3][1][0][(k*10+p)%P]+=ndp[i][j][l][0][k]; } else{ rep(l,2)ndp[i+1][(j+p)%3][l][0][(k*10+p)%P]+=ndp[i][j][l][0][k]; } } } } mint ans=0; rep(j,3)rep(k,2)rep(l,2)rep(t,P){ if((t!=0)&&(j==0||k==1))ans+=ndp[m][j][k][l][t]; } return ans; } int main(){ string a,b;cin >> a >> b; cin >> P; mint ans=solve(b)-solve(a); ll th=0,ex=0,ei=0; rep(i,a.size()){ th*=10;ei*=10; ll p=a[i]-'0'; if(p==3)ex=1; th+=p; ei+=p; th%=3; ei%=P; } if(((th==0)||ex)&&(ei!=0)){ ans+=1; } cout << ans << endl; }