#include <bits/stdc++.h>
using namespace std;
long long int gcd(long long int a, long long int b) {
  return b ? gcd(b, a % b) : a;
}
long long int lcm(long long int a, long long int b) {
  return a * b / gcd(a, b);
}
long long int po(long long int a, long long int b, long long int m) {
  a %= m;
  long long int res = 1;
  while (b > 0) {
    if (b & 1) res = (res * a) % m;
    a = (a * a) % m;
    b >>= 1;
  }
  return res;
}
vector<int> pri;
bool pr[1000001] = {0};
int main() {
  int t;
  cin >> t;
  while (t--) {
    int n;
    cin >> n;
    if (n == 1)
      cout << "FastestFinger\n";
    else if (n == 2)
      cout << "Ashishgup\n";
    else if (n & 1) {
      cout << "Ashishgup\n";
    } else {
      int e2 = 0, ee = 0, i, l = n;
      while (n % 2 == 0) {
        e2++;
        n /= 2;
      }
      for (i = 3; i * i <= n; i += 2) {
        if (n % i == 0) {
          int k = n;
          while (n % i == 0) {
            ee++;
            n /= i;
          }
        }
      }
      if (n > 2) ee++;
      if (ee == 0)
        cout << "FastestFinger\n";
      else if (e2 == 1) {
        if (ee > 1)
          cout << "Ashishgup\n";
        else
          cout << "FastestFinger\n";
      } else
        cout << "Ashishgup\n";
    }
  }
  return 0;
}
