#include #include #include using namespace std; using i64 = long long; class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x struct Modint { static const Modint* none; // *modint::none long long x; Modint(void) { x = 0; }; Modint(long long a) { x = (a%mod+mod)%mod; }; Modint(string s) { x = 0; for(char c : s) { (x *= 10) += (c - '0'); x %= mod; } // if(!x) { x = mod; } }; static Modint* noneInstance(void) { Modint* res = new Modint(); res->x = -1; return res; } bool is_none(void) { return x == -1; } Modint operator + (const Modint a) { return Modint(*this) += a; } Modint operator - (const Modint a) { return Modint(*this) -= a; } Modint operator * (const Modint a) { return Modint(*this) *= a; } Modint operator * (const long long a) { return Modint(*this) *= (a%mod+mod)%mod; } friend Modint operator * (const long long a, const Modint& b) { return Modint(b) *= (a%mod+mod)%mod; } Modint operator +=(const Modint& a) { if((x+=a.x)>=mod) { x-=mod; } return *this; } Modint operator -=(const Modint& a) { if((x-=a.x)<0) { x+=mod; } return *this; } Modint operator *=(const Modint& a) { (x*=a.x)%=mod; return *this; } Modint operator *=(const long long a) { (x*=(a%mod+mod)%mod)%=mod; return *this; } /* a++ */ Modint operator ++(int) { Modint old; old.x = x; if((x+=1)>=mod) { x-=mod; }; return old; } /* ++a */ Modint operator ++(void) { *this += 1; return *this; } /* a-- */ Modint operator --(int) { Modint old; old.x = x; if((x-=1)<0) { x+=mod; }; return old; } /* --a */ Modint operator --(void) { *this -= 1; return *this; } bool operator ==(const Modint& a) const { return x == a.x; } bool operator ==(const long long a) const { return x == (a%mod+mod)%mod; } bool operator !=(const Modint& a) const { return !(x == a.x); } bool operator !=(const long long a) const { return x != (a%mod+mod)%mod; } int intvalue(void) const { return (int)x; } Modint pow(const long long n){ Modint res = 1; long long p = x; for(long long i=n; i>0; i>>=1) { if(i & 1) { res *= p; } (p *= p) %= mod; } return res; } }; template const Modint* Modint::none = Modint::noneInstance(); const int mod = 1000000007; using modint = Modint; int p; //vector>>>>> dp; i64 dp[2][2][2][3][25][32]; //int calc(int p) { // int res = 0; // while(p) { res++; p /= 10; } // return --res; //} i64 f(string s) { int n = s.size(); // dp.assign(2, vector>>>>(2, vector>>>(2, vector>>(3, vector>(3, vector(8, 0)))))); for(int i : range(2)) for(int j : range(2)) for(int k : range(2)) for(int l : range(3)) for(int m : range(25)) for(int o : range(32)) dp[i][j][k][l][m][o] = 0; dp[0][0][0][0][0][0] = 1; for(int i : range(n)) { int cur = i & 1, nxt = !cur; for(int j : range(2)) for(int k : range(2)) for(int l : range(3)) for(int m : range(25)) for(int o : range(32)) dp[nxt][j][k][l][m][o] = 0; for(int j : range(2)) { for(int k03 : range(3)) { for(int k025 : range(25)) { // FIXME (?ω?)<この辺の計算量をどうやって落とすか for(int k032 : range(32)) { // (?ω?)<この辺 // MEMO (ΦωΦ)<「10倍してdを足したときに2の何乗になるか」が、「前に2の何乗だったか」という情報から分かるか if(!dp[cur][j][0][k03][k025][k032] && !dp[cur][j][1][k03][k025][k032]) { continue; } for(int d : range(j?10:s[i]-'0'+1)) { int flag = j || d < s[i] - '0', k13 = (k03 + d) % 3, k125 = (k025 * 10 + d) % 25, k132 = (k032 * 10 + d) % 32; dp[nxt][flag][d==3][k13][k125][k132] += dp[cur][j][0][k03][k025][k032]; dp[nxt][flag][d==3][k13][k125][k132] %= mod; dp[nxt][flag][1] [k13][k125][k132] += dp[cur][j][1][k03][k025][k032]; dp[nxt][flag][1] [k13][k125][k132] %= mod; } } } } } } // int q = calc(p); i64 res = 0; for(int j : range(2)) { for(int k25 : range(25)) { for(int k32 : range(32)) { if(p == 8 && !(k32%8)) { continue; } else if(p==80 && !(k32%16) && !(k25%5)) { continue; } else if(p==800 &&!k32 && !k25) { continue; } for(int k3 : range(3)) { res += dp[n&1][j][1][k3][k25][k32]; res %= mod; } res += dp[n&1][j][0][0][k25][k32]; res %= mod; } } } return res; // return --res; } void minus1(char *s) { int n = strlen(s); for(int i=n-1; i>=0; i--) { if(s[i] == '0') { s[i] = '9'; } else { s[i] -= 1; break; } } } int main(void) { char a[200010], b[200010]; scanf("%s%s%d", a, b, &p); // string a, b; cin >> a >> b >> p; minus1(a); i64 r0 = f(b); i64 r1 = f(a); i64 res = r0 - r1; printf("%d\n", int((res+mod) % mod)); return 0; }