#include #include #include #include #include #include #include #include #include #define rep(i, n) for (int i = 0; i < int(n); ++i) #define rep3(i, m, n) for (int i = int(m); i < int(n); ++i) using namespace std; using int64 = long long; char A[200010]; char B[200010]; const int MOD = 1e9 + 7; int pow_mod(int b, int e, int m) { int ret = 1; while (e) { if (e & 1) ret = int64(ret) * b % m; b = int64(b) * b % m; e >>= 1; } return ret; } template void add(T& a, U b) { a += b; if (a >= MOD) a -= MOD; } int count(char* str, int size, int p, int t, bool inclusive) { int64 dp[2][3200]; int64 prefix = 0; bool has3 = false; int64 f = 0; int mid = max(0, size - 3 - t - 1); int64 s = 0; rep(i, mid) { int d = str[i] - '0'; f = (f * 10 + s) % MOD; s = s * 9 % MOD; if (has3) add(f, d); else { add(s, d - (d > 3)); add(f, d > 3); } prefix = (prefix + d) % 3; has3 |= d == 3; } // 3 * p const int mod = 3 * p; int64* curr = dp[0], *next = dp[1]; fill(curr, curr + 4 * p, 0); curr[0] = curr[1] = curr[2] = s * pow_mod(3, MOD - 2, MOD) % MOD; curr[mod] = f % MOD; rep3(i, mid, size) { int d = str[i] - '0'; fill(next, next + 4 * p, 0); rep(r, mod) rep(j, 10) { if (j == 3) add(next[mod + (r * 10 + j) % p], curr[r]); else add(next[(r * 10 + j) % mod], curr[r]); } rep(r, p) rep(j, 10) add(next[mod + (r * 10 + j) % p], curr[mod + r]); rep(j, d) { if (j == 3 || has3) add(next[mod + (prefix * 10 + j) % p], 1); else add(next[(prefix * 10 + j) % mod], 1); } prefix = (prefix * 10 + d) % mod; has3 |= d == 3; swap(curr, next); } if (inclusive) { if (has3) add(curr[mod + prefix % p], 1); else add(curr[prefix], 1); } int64 ret = 0; rep(i, mod) if (i % 3 == 0 && i % p != 0) ret += curr[i]; rep3(i, 1, p) ret += curr[i + mod]; return ret % MOD; } void solve() { int P; while (~scanf("%s %s %d", A, B, &P)) { int t = 0; int Q = P; while (Q % 10 == 0) Q /= 10, ++t; int ans = (MOD - count(A, strlen(A), P, t, false) + count(B, strlen(B), P, t, true)) % MOD; printf("%d\n", ans); } } int main() { solve(); return 0; }