#include <bits/stdc++.h>
long long pow(int a, int b) {
  long long x = 1, y = a;
  while (b) {
    if (b & 1) {
      x = x * y % 1000000007;
    }
    y = y * y % 1000000007;
    b /= 2;
  }
  return x;
}
int freq[200005];
int main() {
  int n, k;
  scanf("%d", &n);
  long long p = 1;
  for (int i = 0; i < n; i++) {
    scanf("%d", &k);
    freq[k]++;
  }
  int alleven = true;
  for (int i = 1; i <= 200000; i++) {
    alleven &= (freq[i] % 2 == 0);
  }
  long long x = 1;
  for (int i = 1; i <= 200000; i++) {
    int k = freq[i];
    if (alleven) {
      k /= 2;
    }
    for (int j = 0; j < k; j++) {
      x *= i;
      x %= 1000000007;
    }
  }
  bool divided = alleven;
  for (int i = 1; i <= 200000; i++) {
    int p;
    if (!divided && freq[i] % 2 == 1) {
      p = (freq[i] + 1) / 2;
      divided = true;
    } else {
      p = freq[i] + 1;
    }
    x = pow(x, p);
  }
  printf("%I64d\n", x);
  return 0;
}
