#include <bits/stdc++.h>
using namespace std;
const long long lt = 2e5;
long long cnt[200002];
long long power(long long A, long long B) {
  A %= 1000000007;
  long long res = 1;
  while (B > 0LL) {
    if (B & 1LL) res = (res * A) % 1000000007;
    A = (A * A) % 1000000007;
    B >>= 1LL;
  }
  return res;
}
int main() {
  ios::sync_with_stdio(0);
  cin.tie(NULL), cout.tie(NULL);
  long long m, i, inp;
  cin >> m;
  for (i = 1; i <= m; i++) {
    cin >> inp;
    cnt[inp]++;
  }
  long long f = 0;
  for (i = 1; i <= lt; i++) {
    if (cnt[i] == 0) continue;
    if (cnt[i] % 2 == 1) {
      f = 1;
      break;
    }
  }
  long long pr = 1;
  if (f == 1) {
    for (i = 1; i <= lt; i++) {
      pr = (pr * power(i, cnt[i])) % 1000000007;
      cnt[i]++;
    }
    for (i = 1; i <= lt; i++) {
      if (cnt[i] % 2 == 0) {
        cnt[i] = cnt[i] / 2;
        break;
      }
    }
    for (i = 1; i <= lt; i++) {
      pr = power(pr, cnt[i]);
    }
  } else {
    for (i = 1; i <= lt; i++) {
      pr = (pr * power(i, cnt[i] / 2)) % 1000000007;
      cnt[i]++;
    }
    for (i = 1; i <= lt; i++) {
      pr = power(pr, cnt[i]);
    }
  }
  cout << pr << endl;
  return 0;
}
