/* -*- coding: utf-8 -*- * * 1629.cc: No.1629 Sorting Integers (SUM of M) - 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 = 200000; const int MOD = 1000000007; /* typedef */ typedef long long ll; /* global variables */ int cs[10]; int fs[MAX_N + 1], invfs[MAX_N + 1]; /* subroutines */ int powmod(int a, int n) { // a^n % MOD int pm = 1; while (n > 0) { if (n & 1) pm = (ll)pm * a % MOD; a = (ll)a * a % MOD; n >>= 1; } return pm; } inline int nck(int n, int k) { // nCk % MOD return (ll)fs[n] * invfs[n - k] % MOD * invfs[k] % MOD; } void prepare_fracs(int n) { fs[0] = invfs[0] = 1; for (int i = 1; i <= n; i++) { fs[i] = (ll)fs[i - 1] * i % MOD; invfs[i] = powmod(fs[i], MOD - 2); } } inline void addmod(int &a, int b) { a = (a + b) % MOD; } inline void mulmod(int &a, int b) { a = (ll)a * b % MOD; } /* main */ int main() { int n; scanf("%d", &n); for (int i = 1; i <= 9; i++) scanf("%d", cs + i); prepare_fracs(n); int tsum = 0; for (int i = 0, t = 1; i < n; i++, mulmod(t, 10)) addmod(tsum, t); int p = 1; for (int i = 1, l = 0; i <= 9; i++) { l += cs[i]; mulmod(p, nck(l, cs[i])); } int sum = 0; for (int i = 1; i <= 9; i++) if (cs[i] > 0) { int d = (ll)p * powmod(nck(n, cs[i]), MOD - 2) % MOD * nck(n - 1, cs[i] - 1) % MOD * tsum % MOD * i % MOD; addmod(sum, d); } printf("%d\n", sum); return 0; }