#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <vector>

using namespace std;

// BEGIN NO SAD
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
typedef vector<int> vi;
#define f first
#define s second
#define derr if(1) cerr

void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
 
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#define debug(x...) cerr << "\e[91m"<<__func__<<":"<<__LINE__<<" [" << #x << "] = ["; _print(x); cerr << "\e[39m" << flush;
// END NO SAD

template<class Fun>
class y_combinator_result {
  Fun fun_;
public:
  template<class T>
  explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}

  template<class ...Args>
  decltype(auto) operator()(Args &&...args) {
    return fun_(std::ref(*this), std::forward<Args>(args)...);
  }
};

template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
  return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}

template<class T>
bool updmin(T& a, T b) {
  if(b < a) {
    a = b;
    return true;
  }
  return false;
}
template<class T>
bool updmax(T& a, T b) {
  if(b > a) {
    a = b;
    return true;
  }
  return false;
}
typedef int64_t ll;

struct disjoint_set {
  vector<int> p, sz;
  disjoint_set(int n) {
    p.resize(n); fill(all(p), -1);
    sz.resize(n); fill(all(sz), 1);
  }
  int find(int x) {
    return p[x] < 0 ? x : (p[x] = find(p[x]));
  }
  int getsz(int x) {
    return sz[find(x)];
  }
  bool merge(int x, int y) {
    // x goes to y
    x = find(x);
    y = find(y);
    if(x == y) return false;
    p[x] = y;
    sz[y] += sz[x];
    return true;
  }
};

int slow(int n) {
  if(n == 1) return 1;
  disjoint_set dsu(n*n);
  int ncomps = n*n;
  for(int a = 0; a < n*n; a++) for(int b = 0; b < a; b++) {
    int xa = a/n; int ya = a%n;
    int xb = b/n; int yb = b%n;
    xa -= xb;
    ya -= yb;
    if(xa*xa+ya*ya==n) ncomps -= dsu.merge(a, b);
  }
  if(ncomps == n*n) return -1;
  return ncomps;
}
const int SZ = 2e5;
int minp[SZ];
void init() {
  iota(minp, minp + SZ, 0);
  for(int i = 2; i * i < SZ; i++) {
    for(int j = i*i; j < SZ; j += i) updmin(minp[j], i);
  }
}
int fast(int n) {
  int ret = n;
  while(n > 1) {
    int p = minp[n];
    int c = 0;
    while(n%p==0) {
      c++;
      n /= p;
    }
    if(p%4 == 3 && c%2 == 1) return -1;
    if(p%4 == 1) {
      while(ret%p==0) ret /= p;
    }
  }
  return ret;
}
void rsolve() {
  int n;
  cin >> n;
  int ret = fast(n);
  if(ret < 0) cout << "inf\n";
  else cout << ret << "\n";
}
void solve() {
  init();
  for(int i = 1; false && i <= 1000; i++) {
    debug(i);
    debug(slow(i));
    debug(fast(i));
    assert(slow(i) == fast(i));
  }
  int t;
  cin >> t;
  while(t--) rsolve();
}

// what would chika do
// are there edge cases (N=1?)
// are array sizes proper (scaled by proper constant, for example 2* for koosaga tree)
// integer overflow?
// DS reset properly between test cases
// are you doing geometry in floating points
// are you not using modint when you should

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  solve();
}