#include "bits/stdc++.h" 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 PB push_back #define EB emplace_back #define MP make_pair #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 }; /* ----- 2017/11/02 Problem: yukicoder260 / Link: https://yukicoder.me/problems/no/315 ----- */ /* ------問題------ ある芸人のモノマネをする芸人が現れました。 彼は「3の倍数 もしくは 3のつく数」のとき「アホ」になり、「Pの倍数(Pは 8, 80, 800 のいずれか)」のとき「恥じらい」を見せます。 A 以上 B 以下の整数のうち、「アホ」になりかつ「恥じらい」を見せない数がいくつあるかを 10^9+7 で割った時の余りで求めてください。 -----問題ここまで----- */ /* -----解説等----- 8,80,800の倍数判定を考えると、これらは下 ----解説ここまで---- */ LL N; LL ans = 0LL; vector dp[200005][3][2][2]; int Eight; mapeightmap = { { 8,3 },{ 80,4 },{ 800,5 } }; mapeightmemory = { {8,100},{80,1000}, {800,10000} }; LL f(string &target, int i, int three = 0, int has = 0, int eights = 0, int less = 0) { if (i == -1) { return ((three == 0 || has == 1) && eights%Eight != 0); } if (dp[i][three][has][less].empty()) { if (i + 1 > eightmap[Eight])dp[i][three][has][less].resize(1, -1); else dp[i][three][has][less].resize(eightmemory[Eight], -1); } if (i + 1 > eightmap[Eight]) { if (dp[i][three][has][less][0] != -1 && less == 1)return dp[i][three][has][less][0]; } else { if (dp[i][three][has][less][eights] != -1 && less == 1)return dp[i][three][has][less][eights]; } LL res = 0; int num = target[i] - '0'; int Max = less ? 9 : num; FOR(nx, 0, Max + 1) { res += f(target, i - 1, (three + nx) % 3, has || nx == 3, (eights * 10 + nx) % Eight, less || (nx < Max)) % MOD; res %= MOD; } if (i + 1 > eightmap[Eight]) { if (less == 1)return dp[i][three][has][less][0] = res; } else if (less == 1)return dp[i][three][has][less][eights] = res; return res; } int main() { cin.tie(0); ios_base::sync_with_stdio(false); string A, B; cin >> A >> B >> Eight; int i = SZ(A) - 1; while (i >= 0) { if (A[i] == '0') { A[i] = '9'; } else { A[i]--; break; } i--; } if (A[0] == '0')A = A.substr(1); reverse(ALL(A)); reverse(ALL(B)); ans = f(B, SZ(B) - 1); //debug(ans); if (A != "0")ans -= f(A, SZ(A) - 1); cout << (ans + MOD) % MOD << "\n"; return 0; }