#include <bits/stdc++.h>
using namespace std;
#define REP(i,a,n) for(int i=(a); i<(int)(n); i++)
#define rep(i,n) REP(i,0,n)
#define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it)
#define ALLOF(c) (c).begin(), (c).end()
typedef long long ll;
typedef unsigned long long ull;

int get_period(int n) 
{ 
  map<int, int> mymap; 
  map<int, int>::iterator it; 
  
  int rem = 1, i = 1; 
  
  while (true){ 
    rem = (10*rem) % n; 

    it = mymap.find(rem); 
    if (it != mymap.end()) 
      return (i - it->second); 

    mymap[rem] = i; 
    i++; 
  } 
  
  return -1; 
}

void solve(){
  int N;
  cin >> N;

  cout << get_period(N) << endl;

}


int main(){
  int t;
  cin >> t;

  rep(i,t){
    solve();
  }
  
  return 0;
}