#include <bits/stdc++.h>
using namespace std;
const long long ARRMAX = 100001;
const long long INTMAX = LLONG_MAX;
void solve() {
  long long n;
  cin >> n;
  long long ans = 0;
  if (n == 1)
    ans = 1;
  else if (n == 2)
    ans = 0;
  else if (n % 2 == 1)
    ans = 0;
  else {
    std::vector<long long> v(5, 0);
    long long oddcount = 0;
    long long evencount = 0;
    long long final = n;
    while (n % 2 == 0) {
      n /= 2;
      evencount++;
    }
    if (n == 1) {
      ans = 1;
    } else if (evencount > 1)
      ans = 0;
    else {
      ans = 1;
      for (long long i = 2; i < sqrt(n) + 1; ++i) {
        if (n % i == 0) ans = 0;
      }
    }
  }
  if (ans == 1)
    cout << "FastestFinger"
         << "\n";
  else
    cout << "Ashishgup"
         << "\n";
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  long long t;
  cin >> t;
  while (t-- > 0) solve();
  return 0;
}
