/* -*- coding: utf-8 -*- * * 1085.cc: No.1085 桁和の桁和 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 100000; const int MOD = 1000000007; /* typedef */ /* global variables */ char s[MAX_N + 4]; int dp[2][9]; /* subroutines */ inline void addmod(int &a, int b) { a = (a + b) % MOD; } /* main */ int main() { int d; scanf("%s%d", s, &d); int m = 0, sum = 0; bool zf = true; for (char *cpt = s; *cpt; cpt++) { if (*cpt == '?') m++; else { sum += (*cpt - '0'); if (*cpt != '0') zf = false; } } if (d == 0) { printf("%d\n", zf ? 1 : 0); return 0; } int cur = 0, nxt = 1; dp[0][sum % 9] = 1; for (int i = 0; i < m; i++) { memset(dp[nxt], 0, sizeof(dp[nxt])); for (int j = 0; j < 9; j++) for (int k = 0; k <= 9; k++) addmod(dp[nxt][(j + k) % 9], dp[cur][j]); swap(cur, nxt); } int ans = dp[cur][d % 9]; if (d == 9 && sum == 0) ans--; printf("%d\n", ans); return 0; }