#include<bits/stdc++.h>
using namespace std;
#define FOR(i,l,r) for(long long i=(l);i<(r);++i)
#define REP(i,n) FOR(i,0,n)
#define REPS(i,n) FOR(i,1,n+1)
#define RFOR(i,l,r) for(long long i=(l);i>=(r);--i)
#define RREP(i,n) RFOR(i,n-1,0)
#define RREPS(i,n) RFOR(i,n,1)
#define int long long
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define SZ(x) ((int)(x).size())
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
template<class T> inline bool chmin(T& a, T b) {if (a > b) {a = b; return true; }return false; }
template<class T> inline bool chmax(T& a, T b) {if (a < b) {a = b; return true; }return false; }
const int INF = 1e18;
const int MOD = 1e9+7;
// const int MOD = 998244353;
const int MAX = 1000010;
int fac[MAX],finv[MAX],inv[MAX];

//テーブル作成
void COMinit(){
    fac[0]=fac[1]=1;
    finv[0]=finv[1]=1;
    inv[1]=1;
    for(int i=2;i<MAX;i++){
        fac[i]=fac[i-1]*i%MOD;
        inv[i]=MOD-inv[MOD%i]*(MOD/i)%MOD;
        finv[i]=finv[i-1]*inv[i]%MOD;
    }
}

//nCkを求める
int COM(int n,int k){
    if(n<k)return 0;
    if(n<0||k<0)return 0;
    return fac[n]*(finv[k]*finv[n-k]%MOD)%MOD;
}

//ModInt
template <typename T>
T pow(T a, long long n, T e = 1) {
    T ret = e;
    while (n) {
        if (n & 1) ret *= a;
        a *= a;
        n >>= 1;
    }
    return ret;
}

template <int mod>
struct ModInt {
    int x;
    ModInt() : x(0) {}
    ModInt(long long x_) {
        if ((x = x_ % mod + mod) >= mod) x -= mod;
    }
    ModInt& operator+=(ModInt rhs) {
        if ((x += rhs.x) >= mod) x -= mod;
        return *this;
    }
    ModInt& operator-=(ModInt rhs) {
        if ((x -= rhs.x) < 0) x += mod;
        return *this;
    }
    ModInt& operator*=(ModInt rhs) {
        x = (unsigned long long)x * rhs.x % mod;
        return *this;
    }
    ModInt& operator/=(ModInt rhs) {
        x = (unsigned long long)x * rhs.inv().x % mod;
        return *this;
    }
  
    ModInt operator-() const { return -x < 0 ? mod - x : -x; }
    ModInt operator+(ModInt rhs) const { return ModInt(*this) += rhs; }
    ModInt operator-(ModInt rhs) const { return ModInt(*this) -= rhs; }
    ModInt operator*(ModInt rhs) const { return ModInt(*this) *= rhs; }
    ModInt operator/(ModInt rhs) const { return ModInt(*this) /= rhs; }
    bool operator==(ModInt rhs) const { return x == rhs.x; }
    bool operator!=(ModInt rhs) const { return x != rhs.x; }
    ModInt inv() const { return pow(*this, mod - 2); }
  
    friend ostream& operator<<(ostream& s, ModInt<mod> a) {
        s << a.x;
        return s;
    }
    friend istream& operator>>(istream& s, ModInt<mod>& a) {
        s >> a.x;
        return s;
    }
};
using mint = ModInt<MOD>;
int Roundup_div(int x, int y) {return (x+(y-1))/y;}
mint ans = 1 ,bef = 1;


signed main(){
    int n; cin >> n;
    vector<mint> a(n);
    vector<int> b(n);
    vector<mint> c(n);
    vector<mint> rui(n);
    REP(i,n) cin >> b[i];
    REP(i,n) a[i] = (mint)b[i];
    REP(i,n){
        if(!i){
            c[i] = pow(a[i],n-i);
            rui[i] = a[i];
        }
        else{
            c[i] = c[i-1] * pow(a[i],n-i);
            rui[i] = rui[i-1] * a[i];
        }
    }
    int right = 0;
    int mul = 1;
    REP(left,n){
        while(right < n and mul*b[right] < 1e9){
            mul *= b[right];
            right ++;
        }
        if(!left){
            ans *= c[right-1];
            ans /= pow(rui[right-1],n-right);
        }
        else{
            ans *= c[right-1] / c[left-1];
            ans /= pow(rui[right-1]/rui[left-1],n-right);
        }
        if(right == left)right++;
        else mul /= b[left];
    }
    cout << ans << endl;
}