#include <bits/stdc++.h>
using namespace std;
const long long M = 1e18 + 7;
const int N = 1e6 + 1;
const int base = 31;
template <typename T1, typename T2>
long long gcd(T1 a, T2 b) {
  return (b == 0 ? a : gcd(b, a % b));
}
template <typename T1, typename T2>
long long lcm(T1 a, T2 b) {
  return 1LL * a / gcd(a, b) * b;
}
long long qp(unsigned long long A, int B) {
  long long ans = 1;
  while (B) {
    if (B % 2) ans = ans * A % M;
    A = 1LL * A * A % M;
    B /= 2;
  }
  return ans;
}
string s;
long long res, a[N], c[N], mx, t = 1, n, m;
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  c[0] = 1;
  for (int i = 1; i <= 30; i++) c[i] = c[i - 1] * 2;
  cin >> t;
  while (t--) {
    res = mx = 0;
    cin >> n;
    if (n == 1 || m % 2) {
      cout << "FastestFinger"
           << "\n";
      continue;
    }
    if (n == 2 || n % 2) {
      cout << "Ashishgup"
           << "\n";
      continue;
    }
    n /= 2;
    while (n % 2 == 0) {
      n /= 2;
      res = 1;
    }
    if (n == 1) res = 0;
    for (int i = 3; i <= int(sqrt(n)); i += 2) {
      if (n % i)
        continue;
      else
        res = 1;
    }
    if (res == 0)
      cout << "FastestFinger"
           << " ";
    else
      cout << "Ashishgup"
           << " ";
    cout << "\n";
  }
  return 0;
}
