#include <bits/stdc++.h>
using namespace std;
const long long MOD = 1e9 + 7;
const long long MAXN = 2e6 + 1;
string first() { return "Ashishgup"; }
string second() { return "FastestFinger"; }
void solve() {
  long long n;
  cin >> n;
  long long cnt1 = 0, cnt2 = 0;
  if (n == 1) {
    cout << second() << '\n';
    return;
  }
  if (n == 2) {
    cout << first() << '\n';
    return;
  }
  for (long long i = 2; i * i <= n; ++i) {
    while (n % i == 0) {
      n /= i;
      if (i & 1) {
        cnt1++;
      } else if (i == 2) {
        cnt2++;
      }
    }
  }
  if (n != 1) {
    if (n & 1) {
      cnt1++;
    } else if (n == 2) {
      cnt2++;
    }
  }
  if (cnt2 == 0) {
    cout << first() << '\n';
    return;
  }
  if (cnt2 == 1) {
    cout << (cnt1 == 1 ? second() : first()) << '\n';
    return;
  }
  cout << (cnt1 == 0 ? second() : first()) << '\n';
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr), cout.tie(nullptr);
  int test = 1;
  cin >> test;
  for (int i = 1; i <= test; ++i) {
    solve();
  }
  return 0;
}
