#pragma GCC optimize ("Ofast") #include using namespace std; #define MD (1000000007U) template inline S min_L(S a,T b){ return a<=b?a:b; } struct Modint{ unsigned val; Modint(){ val=0; } Modint(int a){ val = ord(a); } Modint(unsigned a){ val = ord(a); } Modint(long long a){ val = ord(a); } Modint(unsigned long long a){ val = ord(a); } inline unsigned ord(unsigned a){ return a%MD; } inline unsigned ord(int a){ a %= (int)MD; if(a < 0){ a += MD; } return a; } inline unsigned ord(unsigned long long a){ return a%MD; } inline unsigned ord(long long a){ a %= (int)MD; if(a < 0){ a += MD; } return a; } inline unsigned get(){ return val; } inline Modint &operator++(){ val++; if(val >= MD){ val -= MD; } return *this; } inline Modint &operator--(){ if(val == 0){ val = MD - 1; } else{ --val; } return *this; } inline Modint operator++(int a){ Modint res(*this); val++; if(val >= MD){ val -= MD; } return res; } inline Modint operator--(int a){ Modint res(*this); if(val == 0){ val = MD - 1; } else{ --val; } return res; } inline Modint &operator+=(Modint a){ val += a.val; if(val >= MD){ val -= MD; } return *this; } inline Modint &operator-=(Modint a){ if(val < a.val){ val = val + MD - a.val; } else{ val -= a.val; } return *this; } inline Modint &operator*=(Modint a){ val = ((unsigned long long)val*a.val)%MD; return *this; } inline Modint &operator/=(Modint a){ return *this *= a.inverse(); } inline Modint operator+(Modint a){ return Modint(*this)+=a; } inline Modint operator-(Modint a){ return Modint(*this)-=a; } inline Modint operator*(Modint a){ return Modint(*this)*=a; } inline Modint operator/(Modint a){ return Modint(*this)/=a; } inline Modint operator+(int a){ return Modint(*this)+=Modint(a); } inline Modint operator-(int a){ return Modint(*this)-=Modint(a); } inline Modint operator*(int a){ return Modint(*this)*=Modint(a); } inline Modint operator/(int a){ return Modint(*this)/=Modint(a); } inline Modint operator+(long long a){ return Modint(*this)+=Modint(a); } inline Modint operator-(long long a){ return Modint(*this)-=Modint(a); } inline Modint operator*(long long a){ return Modint(*this)*=Modint(a); } inline Modint operator/(long long a){ return Modint(*this)/=Modint(a); } inline Modint operator-(void){ Modint res; if(val){ res.val=MD-val; } else{ res.val=0; } return res; } inline operator bool(void){ return val!=0; } inline operator int(void){ return get(); } inline operator long long(void){ return get(); } inline Modint inverse(){ int a = val; int b = MD; int u = 1; int v = 0; int t; Modint res; while(b){ t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } if(u < 0){ u += MD; } res.val = u; return res; } inline Modint pw(unsigned long long b){ Modint a(*this); Modint res; res.val = 1; while(b){ if(b&1){ res *= a; } b >>= 1; a *= a; } return res; } inline bool operator==(int a){ return ord(a)==val; } inline bool operator!=(int a){ return ord(a)!=val; } } ; inline Modint operator+(int a, Modint b){ return Modint(a)+=b; } inline Modint operator-(int a, Modint b){ return Modint(a)-=b; } inline Modint operator*(int a, Modint b){ return Modint(a)*=b; } inline Modint operator/(int a, Modint b){ return Modint(a)/=b; } inline Modint operator+(long long a, Modint b){ return Modint(a)+=b; } inline Modint operator-(long long a, Modint b){ return Modint(a)-=b; } inline Modint operator*(long long a, Modint b){ return Modint(a)*=b; } inline Modint operator/(long long a, Modint b){ return Modint(a)/=b; } inline int my_getchar_unlocked(){ static char buf[1048576]; static int s = 1048576; static int e = 1048576; if(s == e && e == 1048576){ e = fread_unlocked(buf, 1, 1048576, stdin); s = 0; } if(s == e){ return EOF; } return buf[s++]; } inline void rd(char &c){ int i; for(;;){ i = my_getchar_unlocked(); if(i!=' '&&i!='\n'&&i!='\r'&&i!='\t'&&i!=EOF){ break; } } c = i; } inline int rd(char c[]){ int i; int sz = 0; for(;;){ i = my_getchar_unlocked(); if(i!=' '&&i!='\n'&&i!='\r'&&i!='\t'&&i!=EOF){ break; } } c[sz++] = i; for(;;){ i = my_getchar_unlocked(); if(i==' '||i=='\n'||i=='\r'||i=='\t'||i==EOF){ break; } c[sz++] = i; } c[sz]='\0'; return sz; } struct MY_WRITER{ char buf[1048576]; int s; int e; MY_WRITER(){ s = 0; e = 1048576; } ~MY_WRITER(){ if(s){ fwrite_unlocked(buf, 1, s, stdout); } } } ; MY_WRITER MY_WRITER_VAR; void my_putchar_unlocked(int a){ if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){ fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout); MY_WRITER_VAR.s = 0; } MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a; } inline void wt_L(char a){ my_putchar_unlocked(a); } inline void wt_L(int x){ int s=0; int 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){ my_putchar_unlocked('-'); } while(s--){ my_putchar_unlocked(f[s]+'0'); } } inline void wt_L(Modint x){ int i; i = (int)x; wt_L(i); } char A[100000+2]; int N; Modint dp[2][2][2][3][3]; Modint nxt[2][2][2][3][3]; int main(){ int d, i, x; int nz; int nx; int ny; int ni; int nj; Modint res = 0; N = rd(A); for(i=(0);i<(N);i++){ A[i] -= '0'; } dp[0][0][0][0][0] = 1; for(d=(0);d<(N);d++){ int z; for(z=(0);z<(2);z++){ int x; for(x=(0);x<(2);x++){ int y; for(y=(0);y<(2);y++){ for(i=(0);i<(3);i++){ int j; for(j=(0);j<(3);j++){ nxt[z][x][y][i][j] = 0; } } } } } for(z=(0);z<(2);z++){ int x; for(x=(0);x<(2);x++){ int y; for(y=(0);y<(2);y++){ for(i=(0);i<(3);i++){ int j; for(j=(0);j<(3);j++){ int k; for(k=(0);k<(10);k++){ auto Q5rsz4fz = ((z)); auto GgkpftXM = (( x)); auto gEg5UqEA = (( y)); auto qSsg05KM = (( i)); auto Hjfu7Vx7 = (( j)); nz=Q5rsz4fz; nx=GgkpftXM; ny=gEg5UqEA; ni=qSsg05KM; nj=Hjfu7Vx7; if(z == 1 && k == 0){ continue; } if(k){ nz = 1; } if(ny == 0 && k > A[d]){ continue; } if(k < A[d]){ ny = 1; } if(k && k%2==0){ ni =min_L(2, ni+1); } if(k && k%4==0){ ni =min_L(2, ni+1); } if(k && k%5==0){ nj =min_L(2, nj+1); } nxt[nz][nx][ny][ni][nj] += dp[z][x][y][i][j]; } } } } } } for(z=(0);z<(2);z++){ int x; for(x=(0);x<(2);x++){ int y; for(y=(0);y<(2);y++){ for(i=(0);i<(3);i++){ int j; for(j=(0);j<(3);j++){ dp[z][x][y][i][j] = nxt[z][x][y][i][j]; } } } } } } for(x=(0);x<(2);x++){ int y; for(y=(0);y<(2);y++){ res += dp[1][x][y][2][2]; } } wt_L(res); wt_L('\n'); return 0; } // cLay version 20210227-1 // --- original code --- // char A[1d5+2]; int N; // Modint dp[2][2][2][3][3], nxt[2][2][2][3][3]; // // { // int nz, nx, ny, ni, nj; // Modint res = 0; // rd(A@N); // rep(i,N) A[i] -= '0'; // dp[0][0][0][0][0] = 1; // rep(d,N){ // rep(z,2) rep(x,2) rep(y,2) rep(i,3) rep(j,3) nxt[z][x][y][i][j] = 0; // rep(z,2) rep(x,2) rep(y,2) rep(i,3) rep(j,3) rep(k,10){ // (nz, nx, ny, ni, nj) = (z, x, y, i, j); // if(z == 1 && k == 0) continue; // if(k) nz = 1; // // if(nx == 0 && k < A[d]) continue; // // if(k > A[d]) nx = 1; // if(ny == 0 && k > A[d]) continue; // if(k < A[d]) ny = 1; // if(k && k%2==0) ni = min(2, ni+1); // if(k && k%4==0) ni = min(2, ni+1); // if(k && k%5==0) nj = min(2, nj+1); // nxt[nz][nx][ny][ni][nj] += dp[z][x][y][i][j]; // } // rep(z,2) rep(x,2) rep(y,2) rep(i,3) rep(j,3) dp[z][x][y][i][j] = nxt[z][x][y][i][j]; // // rep(z,2) rep(x,2) rep(y,2) rep(i,3) rep(j,3) if(dp[z][x][y][i][j]) wt(d,":",z,x,y,i,j,":",dp[z][x][y][i][j]); // } // rep(x,2) rep(y,2) res += dp[1][x][y][2][2]; // wt(res); // }