#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<int> vi; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<vvl> vvvl; typedef vector<vvvl> vvvvl; typedef vector<vvvvl> vvvvvl; typedef vector<vvvvvl> vvvvvvl; typedef complex<double> P; typedef pair<int,int> pii; #define REP(i,n) for(ll i=0;i<n;++i) #define REPR(i,n) for(ll i=1;i<n;++i) #define FOR(i,a,b) for(ll i=a;i<b;++i) #define DEBUG(x) cout<<#x<<": "<<x<<endl #define DEBUG_VEC(v) cout<<#v<<":";REP(i,v.size())cout<<" "<<v[i];cout<<endl #define ALL(a) (a).begin(),(a).end() #define MOD (ll)(1e9+7) #define ADD(a,b) a=((a)+(b))%MOD #define FIX(a) ((a)%MOD+MOD)%MOD ll calc(string s,int p){ ll n = s.size(); while((n=s.size())<5)s="0"+s; vvvvl dp(2, // pos vvvl(3, // mod3 vvl(2, // found 3 flag vl(2,0)))); // less flag int now = 0; int nxt = 1; dp[0][0][0][0] = 1; REP(pos,n-5){ int d = s[pos]-'0'; REP(md,3){ REP(t,10){ ll nmd = (md*10+t)%3; if(t==3){ // necessarily aho dp[nxt][nmd][1][1] += dp[now][md][1][1] + dp[now][md][0][1]; if(t < d) dp[nxt][nmd][1][1] += dp[now][md][1][0] + dp[now][md][0][0]; else if(t == d) dp[nxt][nmd][1][0] += dp[now][md][1][0] + dp[now][md][0][0]; }else{ // not sure aho dp[nxt][nmd][1][1] += dp[now][md][1][1]; dp[nxt][nmd][0][1] += dp[now][md][0][1]; if(t < d){ dp[nxt][nmd][1][1] += dp[now][md][1][0]; dp[nxt][nmd][0][1] += dp[now][md][0][0]; }else if(t==d){ dp[nxt][nmd][1][0] += dp[now][md][1][0]; dp[nxt][nmd][0][0] += dp[now][md][0][0]; } } dp[nxt][nmd][0][0] %= MOD; dp[nxt][nmd][0][1] %= MOD; dp[nxt][nmd][1][0] %= MOD; dp[nxt][nmd][1][1] %= MOD; } dp[now][md][0][0]=dp[now][md][0][1]=dp[now][md][1][0]=dp[now][md][1][1]=0; } now = 1-now; nxt = 1-nxt; } // last 5 digit vvvvvl ddp(2, // pos vvvvl(3, // mod3 vvvl(2, // found 3 flag vvl(2, // less flag vl(1e5,0))))); // last 5 digit REP(i,3)REP(j,2)REP(k,2)ddp[now][i][j][k][0] = dp[now][i][j][k]; REP(_pos,5){ ll pos = n-5+_pos; int d = s[pos]-'0'; REP(ld5,1e5)REP(md,3){ // if(_pos==0 && ld5!=0) continue; REP(t,10){ ll nmd = (md*10+t)%3; ll nld = (ld5*10+t); if(nld>1e5)continue; if(t==3){ // necessarily aho ddp[nxt][nmd][1][1][nld] += ddp[now][md][1][1][ld5] + ddp[now][md][0][1][ld5]; if(t < d) ddp[nxt][nmd][1][1][nld] += ddp[now][md][1][0][ld5] + ddp[now][md][0][0][ld5]; else if(t == d) ddp[nxt][nmd][1][0][nld] += ddp[now][md][1][0][ld5] + ddp[now][md][0][0][ld5]; }else{ // not sure aho ddp[nxt][nmd][1][1][nld] += ddp[now][md][1][1][ld5]; ddp[nxt][nmd][0][1][nld] += ddp[now][md][0][1][ld5]; if(t < d){ ddp[nxt][nmd][1][1][nld] += ddp[now][md][1][0][ld5]; ddp[nxt][nmd][0][1][nld] += ddp[now][md][0][0][ld5]; }else if(t==d){ ddp[nxt][nmd][1][0][nld] += ddp[now][md][1][0][ld5]; ddp[nxt][nmd][0][0][nld] += ddp[now][md][0][0][ld5]; } } ddp[nxt][nmd][0][0][nld] %= MOD; ddp[nxt][nmd][0][1][nld] %= MOD; ddp[nxt][nmd][1][0][nld] %= MOD; ddp[nxt][nmd][1][1][nld] %= MOD; } ddp[now][md][0][0][ld5]=ddp[now][md][0][1][ld5]=ddp[now][md][1][0][ld5]=ddp[now][md][1][1][ld5]=0; } now = 1-now; nxt = 1-nxt; } ll result = 0; REP(is3,2)REP(less,2)REP(md3,3)REP(ckp,1e5){ if(ckp%p==0)continue; if(is3==1 || md3%3==0)result = (result+ddp[now][md3][is3][less][ckp])%MOD; } return result; } int main(){ string a,b; int p; cin>>a>>b>>p; ll iter = a.size()-1; while(iter>=0){ if(a[iter]!='0'){ a[iter]--; break; } a[iter]='9'; iter--; } ll result = calc(b,p)-calc(a,p); result = FIX(result); cout << result << endl; return 0; }