#include using namespace std; template struct prime_modint { using mint = prime_modint; unsigned int v; prime_modint() : v(0) {} prime_modint(unsigned int a) { a %= MOD; v = a; } prime_modint(unsigned long long a) { a %= MOD; v = a; } prime_modint(int a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; } prime_modint(long long a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; } static constexpr int mod() { return MOD; } mint& operator++() {v++; if(v == MOD)v = 0; return *this;} mint& operator--() {if(v == 0)v = MOD; v--; return *this;} mint operator++(int) { mint result = *this; ++*this; return result; } mint operator--(int) { mint result = *this; --*this; return result; } mint& operator+=(const mint& rhs) { v += rhs.v; if(v >= MOD) v -= MOD; return *this; } mint& operator-=(const mint& rhs) { if(v < rhs.v) v += MOD; v -= rhs.v; return *this; } mint& operator*=(const mint& rhs) { v = (unsigned int)((unsigned long long)(v) * rhs.v % MOD); return *this; } mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); } mint operator+() const { return *this; } mint operator-() const { return mint() - *this; } mint pow(long long n) const { assert(0 <= n); mint r = 1, x = *this; while (n) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; } mint inv() const { assert(v); return pow(MOD - 2); } friend mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; } friend mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; } friend mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; } friend mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; } friend bool operator==(const mint& lhs, const mint& rhs) { return (lhs.v == rhs.v); } friend bool operator!=(const mint& lhs, const mint& rhs) { return (lhs.v != rhs.v); } friend std::ostream& operator << (std::ostream &os, const mint& rhs) noexcept { return os << rhs.v; } }; using mint = prime_modint<1000000007>; //using mint = prime_modint<998244353>; int main(){ ios::sync_with_stdio(false); cin.tie(0); string A, B; int P, C; cin >> A >> B >> P; if(P == 8) C = 0; if(P == 80) C = 1; if(P == 800) C = 2; //末尾の0がP個以上のときダメ //P未満ならOK reverse(A.begin(), A.end()); A[0]--; for(int i = 0; i + 1 < A.size(); i++){ if(A[i] < '0'){ A[i] += 10; A[i + 1]--; } } reverse(A.begin(), A.end()); auto f = [&](string s){ int n = s.size(), st = max(0, n - (C + 3)), n2 = min(C + 3, n); //桁数,未満,3がつく+3の倍数,8の倍数 vector,2>> dp(st + 1); dp[0][1][0] = 1; for(int i = 0; i < st; i++){ for(int j = 0; j < 2; j++){ int r = j ? s[i] - '0' : 9; for(int nv = 0; nv <= r; nv++){ for(int k = 0; k < 3; k++){ dp[i + 1][j & (nv == r)][nv == 3 ? 3 : (k + nv) % 3] += dp[i][j][k]; } dp[i + 1][j & (nv == r)][3] += dp[i][j][3]; } } } mint dp2[n2 + 1][2][4][P]; for(int i = 0; i < 2; i++){ for(int j = 0; j < 4; j++){ dp2[0][i][j][0] += dp[st][i][j]; } } for(int i = 0; i < n2; i++){ for(int j = 0; j < 2; j++){ int r = j ? s[st + i] - '0' : 9; for(int l = 0; l < P; l++){ for(int nv = 0; nv <= r; nv++){ for(int k = 0; k < 3; k++){ dp2[i + 1][j & (nv == r)][nv == 3 ? 3 : (k + nv) % 3][(l * 10 + nv) % P] += dp2[i][j][k][l]; } dp2[i + 1][j & (nv == r)][3][(l * 10 + nv) % P] += dp2[i][j][3][l]; } } } } mint res; for(int i = 0; i < 2; i++){ for(int j = 0; j <= 3; j += 3){ for(int k = 1; k < P; k++){ res += dp2[n2][i][j][k]; } } } return res; }; cout << f(B) - f(A) << '\n'; }