#define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair i_i; typedef pair ll_i; typedef pair d_i; typedef pair ll_ll; typedef pair d_d; struct edge { int u, v, w; }; ll MOD = 1000000007; ll _MOD = 1000000009; double EPS = 1e-10; int INF = INT_MAX / 2; ll gcd(ll a, ll b) { if (b == 0) return abs(a); else return gcd(b, a % b); } ll extgcd(ll a, ll b, ll& x, ll& y) { if (b == 0) { x = (a >= 0) ? 1 : -1; y = 0; return abs(a); } else { ll res = extgcd(b, a % b, y, x); y -= (a / b) * x; return res; } } ll mod_inverse(ll a, ll m) { ll x, y; extgcd(a, m, x, y); return (m + x % m) % m; } int main() { vector f(1000001), fi(1000001); f[0] = fi[0] = 1; for (int i = 1; i <= 1000000; i++) { f[i] = (f[i - 1] * i) % MOD; fi[i] = mod_inverse(f[i], MOD); } int K; cin >> K; int n = 0; vector C(K); for (int i = 0; i < K; i++) { cin >> C[i]; n += C[i]; } vector a(n + 1); for (int j = 0; j < n; j++) { int k = gcd(n, j); a[k]++; } ll sum = 0; for (int k = 1; k <= n; k++) { if (n % k) continue; int j = n / k; bool ok = true; for (int i = 0; i < K; i++) if (C[i] % j) ok = false; if (!ok) continue; ll prod = f[k]; for (int i = 0; i < K; i++) { int c = C[i] / j; prod = (prod * fi[c]) % MOD; } sum = (sum + a[k] * prod) % MOD; } sum = (sum * mod_inverse(n, MOD)) % MOD; cout << sum << endl; }