#include using namespace std; #ifdef LOCAL #include "debug.h" #else #define DEBUG(...) #endif template > constexpr T power(T a, long long n, Op op = Op(), T e = {1}) { assert(n >= 0); while (n) { if (n & 1) e = op(e, a); if (n >>= 1) a = op(a, a); } return e; } template struct modular { using m = modular; static constexpr unsigned mod = M; unsigned v; modular(long long x = 0) : v((x %= mod) < 0 ? x + mod : x) {} m operator-() const { return m() -= *this; } m& operator+=(m b) { if ((int)(v += b.v - mod) < 0) v += mod; return *this; } m& operator-=(m b) { if ((int)(v -= b.v) < 0) v += mod; return *this; } m& operator*=(m b) { v = (uint64_t)v * b.v % mod; return *this; } m& operator/=(m b) { return *this *= power(b, mod - 2); } friend m operator+(m a, m b) { return a += b; } friend m operator-(m a, m b) { return a -= b; } friend m operator*(m a, m b) { return a *= b; } friend m operator/(m a, m b) { return a /= b; } friend bool operator==(m a, m b) { return a.v == b.v; } }; using mint = modular; constexpr int lim = 1e9; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n; cin >> n; vector a(n); for (auto&& e : a) { cin >> e; if (e == 0) { cout << "0\n"; exit(0); } } long long p = 1; mint res = 1, q = 1; for (int l = 0, r = 0; l < n; ++l) { res *= q; while (r < n and p * a[r] < lim) { p *= a[r++]; q *= p; res *= p; } DEBUG(q); q /= power(a[l], r - l); p /= a[l]; } cout << res.v << '\n'; }