/* -*- coding: utf-8 -*-
 *
 * 3204.cc:  No.3204 Permuted Integer - yukicoder
 */

#include<cstdio>
#include<cmath>
#include<algorithm>

using namespace std;

/* constant */

const int MAX_M = 10;

/* typedef */

/* global variables */

int ps[MAX_M];

/* subroutines */

/* main */

int main() {
  int tn;
  scanf("%d", &tn);

  while (tn--) {
    int n;
    scanf("%d", &n);
    
    int m = 0;
    while (n > 0) ps[m++] = n % 10, n /= 10;
    sort(ps, ps + m);

    int minx = -1;
    do {
      int x = 0;
      for (int i = 0; i < m; i++) x = x * 10 + ps[i];
      
      int y = sqrt(0.5 + x);
      if (y * y == x) { minx = x; break; }
    } while (next_permutation(ps, ps + m));

    printf("%d\n", minx);
  }
  
  return 0;
}