/* -*- coding: utf-8 -*-
 *
 * 1084.cc:  No.1084 積の積 - yukicoder
 */

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<iostream>
#include<string>
#include<vector>
#include<map>
#include<set>
#include<stack>
#include<list>
#include<queue>
#include<deque>
#include<algorithm>
#include<numeric>
#include<utility>
#include<complex>
#include<functional>
 
using namespace std;

/* constant */

const int MAX_N = 100000;
const int MAX_A = 1000000000;
const int MOD = 1000000007;

/* typedef */

typedef long long ll;

/* global variables */

int as[MAX_N], ps[MAX_N + 1], qs[MAX_N + 1];

/* subroutines */

inline int powmod(int a, int n) {  // a^n % MOD
  int pm = 1;
  while (n > 0) {
    if (n & 1) pm = (ll)pm * a % MOD;
    a = (ll)a * a % MOD;
    n >>= 1;
  }
  return pm;
}

inline int invmod(int a) { return powmod(a, MOD - 2); }

/* main */

int main() {
  int n;
  scanf("%d", &n);

  ps[0] = qs[0] = 1;

  for (int i = 0; i < n; i++) {
    scanf("%d", as + i);
    if (as[i] == 0) {
      puts("0");
      return 0;
    }

    ps[i + 1] = (ll)ps[i] * powmod(as[i], n - i) % MOD;
    qs[i + 1] = (ll)qs[i] * as[i] % MOD;
  }

  int ans = 1;

  for (int i = 0, j = 0, f = 1; i < n; i++) {
    while (j < n && (ll)f * as[j] < MAX_A) f *= as[j++];

    int p0 = (ll)ps[j] * invmod(ps[i]) % MOD;
    int q0 = (ll)qs[j] * invmod(qs[i]) % MOD;
    ans = (ll)ans * ((ll)p0 * invmod(powmod(q0, n - j)) % MOD) % MOD;

    f /= as[i];
  }

  printf("%d\n", ans);
  return 0;
}