#include using namespace std; using VS = vector; using LL = long long; using VI = vector; using VVI = vector; using PII = pair; using PLL = pair; using VL = vector; using VVL = vector; #define ALL(a) begin((a)),end((a)) #define RALL(a) (a).rbegin(), (a).rend() #define SZ(a) int((a).size()) #define SORT(c) sort(ALL((c))) #define RSORT(c) sort(RALL((c))) #define UNIQ(c) (c).erase(unique(ALL((c))), end((c))) #define FOR(i, s, e) for (int(i) = (s); (i) < (e); (i)++) #define FORR(i, s, e) for (int(i) = (s); (i) > (e); (i)--) #define debug(x) cerr << #x << ": " << x << endl const int INF = 1e9; const LL LINF = 1e16; const LL MOD = 1000000007; const double PI = acos(-1.0); int DX[8] = { 0, 0, 1, -1, 1, 1, -1, -1 }; int DY[8] = { 1, -1, 0, 0, 1, -1, 1, -1 }; /* ----- 2018/10/01 Problem: yukicoder 315 / Link: http://yukicoder.me/problems/no/315 ----- */ /* ------問題------ -----問題ここまで----- */ /* -----解説等----- ----解説ここまで---- */ vector dp[200005][3][2][2]; int EIGHT; mapeightDigit = { {8,3},{80,4},{800,5} }; int positiveDigit; LL f(const string& s, int i, int threemod = 0, int hasthree = 0, int eightmod = 0, bool less = 0) { if (i == -1) { return (threemod == 0 || hasthree == 1) && eightmod%EIGHT; } if (dp[i][threemod][hasthree][less].size()==0) { if (i + 1 > positiveDigit) { dp[i][threemod][hasthree][less].assign(1, -1); } else { dp[i][threemod][hasthree][less].assign(EIGHT, -1); } } else { // return memo if (i + 1 > positiveDigit) { if (less && dp[i][threemod][hasthree][less][0] != -1)return dp[i][threemod][hasthree][less][0]; } else { if (less && dp[i][threemod][hasthree][less][eightmod] != -1) { return dp[i][threemod][hasthree][less][eightmod]; } } } LL res = 0; int Max = less ? 9 : s[i] - '0'; FOR(nx, 0, Max + 1) { res += f(s, i-1, (threemod + nx) % 3, hasthree || nx == 3, (eightmod * 10 + nx) % EIGHT, less || (nx < Max)); } res %= MOD; // return memo if (i + 1 > positiveDigit) { if (less)return dp[i][threemod][hasthree][less][0] = res; } else if (less) { return dp[i][threemod][hasthree][less][eightmod] = res; } else { return res; } } int main() { cin.tie(0); ios_base::sync_with_stdio(false); string A, B; cin >> A >> B >> EIGHT; ::positiveDigit = eightDigit[EIGHT]; FORR(i, SZ(A) - 1, 0 - 1) { // A--; if (A[i] == '0') { A[i] = '9'; } else { A[i]--; break; } } if (A[0] == '0')A = A.substr(1); reverse(ALL(A)), reverse(ALL(B)); LL ans = f(B, SZ(B) - 1); LL ret = f(A, SZ(A) - 1); ans -= ret; if (ans < 0)ans += MOD; cout << ans << "\n"; return 0; }