#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef vector vl; typedef vector vvl; typedef vector vc; typedef vector vs; typedef vector vb; typedef vector vd; typedef pair P; typedef pair pii; typedef vector

vpl; typedef tuple tapu; #define rep(i,n) for(int i=0; i<(n); i++) #define REP(i,a,b) for(int i=(a); i<(b); i++) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() const int inf = 1<<30; const ll linf = 1LL<<62; const int MAX = 510000; ll dy[8] = {1,-1,0,0,1,-1,1,-1}; ll dx[8] = {0,0,1,-1,1,-1,-1,1}; const double pi = acos(-1); const double eps = 1e-7; template inline bool chmin(T1 &a,T2 b){ if(a>b){ a = b; return true; } else return false; } template inline bool chmax(T1 &a,T2 b){ if(a inline void print(T &a){ rep(i,a.size()) cout << a[i] << " "; cout << "\n"; } template inline void print2(T1 a, T2 b){cout << a << " " << b << "\n";} template inline void print3(T1 a, T2 b, T3 c){ cout << a << " " << b << " " << c << "\n"; } const int mod = 1e9 + 7; //const int mod = 998244353; template class modint { using u64 = std::uint_fast64_t; public: u64 a; constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {} constexpr u64 &value() noexcept { return a; } constexpr const u64 &value() const noexcept { return a; } constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint &operator+=(const modint rhs) noexcept { a += rhs.a; if (a >= Modulus) { a -= Modulus; } return *this; } constexpr modint &operator-=(const modint rhs) noexcept { if (a < rhs.a) { a += Modulus; } a -= rhs.a; return *this; } constexpr modint &operator*=(const modint rhs) noexcept { a = a * rhs.a % Modulus; return *this; } constexpr modint &operator/=(modint rhs) noexcept { u64 exp = Modulus - 2; while (exp) { if (exp % 2) { *this *= rhs; } rhs *= rhs; exp /= 2; } return *this; } }; using mint = modint; ll modpow(ll x, ll n, ll mod){ ll res = 1; while(n > 0){ if(n & 1) res = res * x % mod; x = x * x % mod; n >>= 1; } return res; } int main(){ int n; cin >> n; vl a(n); rep(i,n) cin >> a[i]; vl cnt(n+1,0); vl c(n+1,0); int right = 0; ll now = 1; rep(i,n){ if(a[i] == 0){ cout << 0 << endl; return 0; } } rep(i,n){ while(right < n && now * a[right] < 1e9){ now *= a[right]; right++; } c[i]--; c[right]++; cnt[i] -= right - i; now /= a[i]; } mint ans = 1; for(ll i=n-1; i>=0; i--) c[i] += c[i+1]; cnt[n] = c[n]; for(ll i=n-1; i>=0; i--) cnt[i] += cnt[i+1] + c[i]; rep(i,n){ ans *= modpow(a[i],cnt[i+1],mod); } cout << ans.value() << "\n"; }