#include <bits/stdc++.h>
using namespace std;
long long gcd(long long a, long long b) {
  if (a == 0) return b;
  return gcd(b % a, a);
}
long long mpow(long long base, long long exp);
void ipgraph(long long m);
const long long mod = 1000000007;
const long long N = 1000000001;
const long long MAX = 1e9 + 1;
template <typename... T>
void in(T &...args) {
  ((cin >> args), ...);
}
template <typename... T>
void out(T &&...args) {
  ((cout << args << " "), ...);
}
template <typename... T>
void outl(T &&...args) {
  ((cout << args << "\n"), ...);
}
long long fast_exp(long long base, long long exp) {
  long long res = 1;
  while (exp > 0) {
    if (exp % 2 == 1) res = (res * base);
    base = (base * base);
    exp /= 2;
  }
  return res;
}
int32_t main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  ;
  long long t;
  in(t);
  while (t--) {
    long long n;
    in(n);
    long long p = n;
    while (p % 2 == 0) p = p / 2;
    if (n == 1) {
      cout << "FastestFinger"
           << "\n";
      continue;
    }
    if (n % 2 == 1) {
      outl("Ashishgup");
      continue;
    } else if (n == 2) {
      cout << "Ashishgup"
           << "\n";
    } else if ((n & (n - 1)) == 0) {
      cout << "FastestFinger"
           << "\n";
    } else {
      n = n / 2;
      long long flag = 0;
      for (long long i = 2; i * i <= n; i++) {
        if (n % i == 0) {
          flag = 1;
          break;
        }
      }
      if (flag) {
        cout << "Ashishgup"
             << "\n";
      } else {
        cout << "FastestFinger"
             << "\n";
      }
    }
  }
  return 0;
}
