//#define DEBUGGING // Enables DEBUG macro. #include using namespace std; using i64 = long long; using u64 = unsigned long long; #define REP(i, n) for (int i = 0; (i64)(i) < (i64)(n); ++i) #ifndef DEBUGGING #define debug(...) #define DEBUG(...) #else template void debug(T value) { std::cerr << value; } template void debug(T value, Ts... args) { std::cerr << value << ", "; debug(args...); } #define DEBUG(...) \ do { \ cerr << " (L" << __LINE__ << ") "; \ cerr << #__VA_ARGS__ << ": "; \ debug(__VA_ARGS__); \ cerr << endl; \ } while (0) #endif // auto mod int const i64 MOD = 1'000'000'007; struct mint { long long x; mint(long long x = 0) : x((x % MOD + MOD) % MOD) {} mint operator-() const { return mint(-x); } mint& operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint& operator-=(const mint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(long long t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime MOD mint inv() const { return pow(MOD - 2); } mint& operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream& operator>>(istream& is, mint& a) { return is >> a.x; } ostream& operator<<(ostream& os, const mint& a) { return os << a.x; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int N; cin >> N; vector A(N); bool has_zero = false; for (auto& x : A) { cin >> x; if (x == 0) has_zero = true; } if (has_zero) { cout << 0 << endl; return 0; } int head = 0, tail = 0; mint ans = 1; mint cum = 1; i64 tmp = 1; while (head < N) { for (; tail < N; tail++) { if (tmp * A[tail] >= 1'000'000'000LL) { break; } tmp *= A[tail]; cum *= tmp; ans *= tmp; } for (; head < N;) { cum *= mint(A[head]).inv().pow(tail - head); tmp /= A[head]; head++; if (tmp < 1'000'000'000LL) { ans *= cum; } if (tail < N && tmp * A[tail] < 1'000'000'000LL) { break; } } } cout << ans << endl; }