#include using namespace std; #define REP(i,a,b) for(i=a;i'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(ll *x){int k,m=0;*x=0;for(;;){mygc(k);if(k=='-'){m=1;break;}if('0'<=k&&k<='9'){*x=k-'0';break;}}for(;;){mygc(k);if(k<'0'||k>'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(double *x){scanf("%lf",x);} int reader(char c[]){int i,s=0;for(;;){mygc(i);if(i!=' '&&i!='\n'&&i!='\r'&&i!='\t'&&i!=EOF) break;}c[s++]=i;for(;;){mygc(i);if(i==' '||i=='\n'||i=='\r'||i=='\t'||i==EOF) break;c[s++]=i;}c[s]='\0';return s;} template void reader(T *x, S *y){reader(x);reader(y);} template void reader(T *x, S *y, U *z){reader(x);reader(y);reader(z);} template void reader(T *x, S *y, U *z, V *w){reader(x);reader(y);reader(z);reader(w);} void writer(int x, char c){int s=0,m=0;char f[10];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(ll x, char c){int s=0,m=0;char f[20];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(double x, char c){printf("%.15f",x);mypc(c);} void writer(const char c[]){int i;for(i=0;c[i]!='\0';i++)mypc(c[i]);} void writer(const char x[], char c){int i;for(i=0;x[i]!='\0';i++)mypc(x[i]);mypc(c);} template void writerLn(T x){writer(x,'\n');} template void writerLn(T x, S y){writer(x,' ');writer(y,'\n');} template void writerLn(T x, S y, U z){writer(x,' ');writer(y,' ');writer(z,'\n');} template void writerArr(T x[], int n){int i;if(!n){mypc('\n');return;}rep(i,n-1)writer(x[i],' ');writer(x[n-1],'\n');} char memarr[17000000]; void *mem = memarr; #define MD 1000000007 int get_inv(ll a, int md){ll t=a,s=md,u=1,v=0,e;while(s){e=t/s;t-=e*s;u-=e*v;swap(t,s);swap(u,v);}if(u<0)u+=md;return u;} struct mint{ static unsigned md, W, R, Rinv, mdninv, RR; unsigned val; mint(){}mint(int a){val=mulR(a);}mint(unsigned a){val=mulR(a);}mint(ll a){val=mulR(a);}mint(ull a){val=mulR(a);} unsigned setmod(unsigned m){int i;unsigned t;W=32;md=m;R=(1ULL<>W);if(t>=md)t-=md;return t;}unsigned reduce(ull T){unsigned m=(unsigned)T*mdninv;unsigned t=(unsigned)((T+(ull)m*md)>>W);if(t>=md)t-=md;return t;} unsigned get(){return reduce(val);} mint&operator+=(mint a){val+=a.val;if(val>=md)val-=md;return*this;}mint&operator-=(mint a){if(val>=1;a*=a;}return r;} bool operator==(int a){return get()==a;} bool operator!=(int a){return get()!=a;} }; unsigned mint::md, mint::W, mint::R, mint::Rinv, mint::mdninv, mint::RR; mint operator+(int a, mint b){return mint(a)+=b;}mint operator-(int a, mint b){return mint(a)-=b;}mint operator*(int a, mint b){return mint(a)*=b;}mint operator/(int a, mint b){return mint(a)/=b;} mint operator+(ll a, mint b){return mint(a)+=b;}mint operator-(ll a, mint b){return mint(a)-=b;}mint operator*(ll a, mint b){return mint(a)*=b;}mint operator/(ll a, mint b){return mint(a)/=b;} mint mval[10000], minv[10000]; void mint_init(int md=MD, mint val[]=mval, int vals=10000, mint inv[]=minv, int invs=10000){int i;val[0].setmod(md);val[0].val=0;REP(i,1,vals){val[i].val=val[i-1].val+mint::R;if(val[i].val >=md)val[i].val-=md;}inv[1].val=1;REP(i,2,invs){inv[i].val=md-((ll)(md/i)*inv[md%i].val%md);}REP(i,1,invs)inv[i].val=(ull)inv[i].val*mint::R%md;} template void *malloc1d(T **arr, int x, void *mem){(*arr)=(T*)mem;return((*arr)+x);} template void *malloc2d(T ***arr, int x, int y, void *mem){int i;(*arr)=(T**)mem;(*arr)[0]=(T*)((*arr)+x);REP(i,1,x)(*arr)[i]=(*arr)[i-1]+y;return((*arr)[x-1]+y);} int As, Bs, P, PP, D; char A[300000], B[300000]; int sedge[10000][10]; int edge[10000][10]; mint solve(char S[], int N, void *mem){ int i, j, k, md; mint **dp, **nx, res; if(N==0) return mval[0]; md = 4 * P; mem = malloc2d(&dp, 2, md, mem); mem = malloc2d(&nx, 2, md, mem); rep(i,3*P){ rep(j,10){ if(j!=3) sedge[i][j] = (i*10+j) % (3*PP); else sedge[i][j] = (i*10+j) % PP + (3*P); } } REP(i,3*P,4*P){ rep(j,10){ k = i - 3*PP; sedge[i][j] = (k*10+j) % PP + (3*P); } } rep(i,3*P){ rep(j,10){ if(j!=3) edge[i][j] = (i*10+j) % (3*P); else edge[i][j] = (i*10+j) % P + (3*P); } } REP(i,3*P,4*P){ rep(j,10){ k = i - 3*P; edge[i][j] = (k*10+j) % P + (3*P); } } rep(i,2) rep(j,md) dp[i][j] = mval[0]; dp[0][0] = mval[1]; rep(k,N-2){ rep(i,2) rep(j,md) nx[i][j] = mval[0]; rep(j,md) if(dp[0][j].val){ rep(i,S[k]) nx[1][sedge[j][i]] += dp[0][j]; nx[0][sedge[j][i]] += dp[0][j]; } rep(j,md) if(dp[1][j].val){ rep(i,10) nx[1][sedge[j][i]] += dp[1][j]; } swap(dp, nx); } REP(k,N-2,N){ rep(i,2) rep(j,md) nx[i][j] = mval[0]; rep(j,md) if(dp[0][j].val){ rep(i,S[k]) nx[1][edge[j][i]] += dp[0][j]; nx[0][edge[j][i]] += dp[0][j]; } rep(j,md) if(dp[1][j].val){ rep(i,10) nx[1][edge[j][i]] += dp[1][j]; } swap(dp, nx); } res = mval[0]; rep(i,2) rep(j,3*P) if(j%3==0 && j%P!=0) res += dp[i][j]; rep(i,2) REP(j,3*P,4*P) if(j%P!=0) res += dp[i][j]; return res; } int main(){ int i, j, k; mint res; mint_init(); As = reader(A); Bs = reader(B); reader(&P); PP = P; while(PP%10==0) PP/=10; reverse(A, A+As); A[i]--; rep(i,As){ if(A[i] >= '0') break; A[i] = '9'; A[i+1]--; } while(As>=0 && A[As-1]=='0') As--; reverse(A, A+As); rep(i,As) A[i]-='0'; rep(i,Bs) B[i]-='0'; res = solve(B, Bs, mem); res -= solve(A, As, mem); writerLn((int)res); return 0; }