#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep2(i, n) for (int i = 1; i <= (int)(n); i++)
#define ll long long
#define umap unordered_map
using graph = vector<vector<int>>;
using graph2 = vector<vector<pair<int, int>>>;
#define oorret true //std::out_of_rangeが返された時
#define oor(x) [&](){try{x;} catch(const std::out_of_range& oor){return oorret;} return x;}()
double pi = 3.141592653589793238;
ll mod(ll x, ll y){if(x>=0||x%y==0) return x%y;return y+x%y;} //mod including minus
ll dv0(ll x, ll y){if(x>=0||x%y==0)return x/y;return x/y-1;} //rnd down
ll dv1(ll x, ll y){if(x%y==0) return dv0(x,y);return dv0(x,y)+1;} //rnd up
ll M=1e9+7;
ll L=1e9;
int quick_pow(ll x,ll p){
    int a=1,po=x;
    while(p){
        if(p&1)  a=1ll*a*po%M;
        po=1ll*po*po%M;p>>=1;
    }
    return a;
}


int main(){
    int N;
    cin>>N;
    vector<ll> A(N);
    rep(i, N){
        cin>>A[i];
    }
    sort(A.begin(), A.end());
    if(A[0]==0){
        cout<<0<<endl;
    }else{
    ll C=A[0];
    int b;
    ll B[N];
    rep(i, N){
        B[i]=0;
    }
    for(int i=0;i<N;i++){
        if(i==0){
        }else{
            C/=A[i-1];
            if(C>=L){
                for(int j=i;j<=b;j++){
                    B[j]+=b-j+1;
                }
                continue;
            }else{
                b=min(b+1, N-1);
            }
        }
        int j;
        if(i==0){
            b=0;
        }
        for(j=b+1;j<N;j++){
            C*=A[j];
            if(C>=L){
                b=j-1;
                break;
            }
        }
        if(j==N){
            b=N-1;
        }
        for(j=i;j<=b;j++){
            B[j]+=b-j+1;
        }
    }
    ll ans=1;
    rep(i, N){
        ans*=quick_pow(A[i], B[i]);
        ans%=M;
    }
    cout<<ans<<endl;
    }
}