#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define all(a) a.begin(),a.end() #define rep(i, n) for (ll i = 0; i < (n); i++) #define pb push_back #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef pair P; typedef complex com; constexpr int inf = 1000000000; constexpr ll INF = 1000000000000000010; constexpr ld eps = 1e-12; constexpr ld pi = 3.141592653589793238; template inline bool chmax(T &a, const U &b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T &a, const U &b) { if (a > b) { a = b; return true; } return false; } constexpr ll mod = 1000000007; constexpr ll modsize = 0; vector fac(modsize); vector inv(modsize); vector facinv(modsize); void modcalc() { if (modsize == 0) abort(); fac[0] = 1; fac[1] = 1; inv[1] = 1; facinv[0] = 1; facinv[1] = 1; for (ll i = 2; i < modsize; i++) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; facinv[i] = facinv[i - 1] * inv[i] % mod; } } ll modinv(ll a) { if (a == 0) abort(); ll b = mod, u = 1, v = 0; while (b) { ll t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= mod; if (u < 0) u += mod; return u; } ll modpow(ll a, ll b) { ll ans = 1; a %= mod; while (b) { if (b & 1) ans = ans * a % mod; a = a * a % mod; b >>= 1; } return ans; } ll modcomb(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fac[n] * facinv[k] % mod * facinv[n - k] % mod; } ll modperm(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fac[n] * facinv[n - k] % mod; } ll modhom(ll n, ll k) { if (n < 0 || k < 0 || n == 0 && k > 0) return 0; if (n == 0 && k == 0) return 1; return fac[n + k - 1] * facinv[k] % mod * facinv[n - 1] % mod; } signed main() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); int n; cin >> n; vector a(n); rep(i, n) cin >> a[i]; rep(i, n) { if (a[i] == 0) { cout << "0\n"; return 0; } } vector cnt(n + 2); ll now = 1; ll right = 0; rep(left, n) { while (right < n && now * a[right] < inf) { now *= a[right]; right++; } cnt[left] += right - left; cnt[left + 1] += left - right - 1; cnt[right + 1] += 1; if (left == right) right++; else now /= a[left]; } rep(i, n + 1) cnt[i + 1] += cnt[i]; rep(i, n + 1) cnt[i + 1] += cnt[i]; ll ans = 1; rep(i, n) { ans *= modpow(a[i], cnt[i]); ans %= mod; } cout << ans << '\n'; }