#include <bits/stdc++.h>
using namespace std;
bool isprime(long long n) {
  long long i;
  if (n == 2 || n == 3) return 1;
  long long flag = 0;
  for (i = 2; i <= sqrt(n) + 1; i++) {
    if (n % i == 0) {
      flag = 1;
      break;
    }
  }
  if (flag)
    return 0;
  else
    return 1;
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  long long t;
  cin >> t;
  while (t--) {
    long long n;
    cin >> n;
    if (n == 1) {
      cout << "FastestFinger"
           << "\n";
      continue;
    }
    if (n % 2 == 1) {
      cout << "Ashishgup"
           << "\n";
      continue;
    }
    long long temp = n, i = 2, c = 0;
    long long c1 = 0;
    while (n % 2 == 0) {
      n = n / i;
      c++;
    }
    if (n == 1 && temp != 2) {
      cout << "FastestFinger"
           << "\n";
      continue;
    }
    if (n != 1 && isprime(n)) {
      c1++;
    } else
      c1 = 2;
    if (c == 1 && c1 == 1) {
      cout << "FastestFinger"
           << "\n";
    } else if (c == 1 && c1 > 1) {
      cout << "Ashishgup"
           << "\n";
    } else if (c == 1 && c1 == 0) {
      cout << "Ashishgup"
           << "\n";
    } else if (c1 == 0) {
      cout << "FastestFinger"
           << "\n";
    } else {
      cout << "Ashishgup"
           << "\n";
    }
  }
  return 0;
}
