#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
#include<atcoder/all>
using namespace std;
using namespace atcoder;
using ll=long long;

void IO(){
  ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
}

int main(){
  IO();
  ll t;
  cin>>t;
  while(t--){
    ll n;
    cin>>n;
    vector<ll> a(n);
    for(ll i=0;i<n;i++){
      a[i]=i+1;
    }
    vector<ll> b(n,0);
    if(n*(n+1)%4!=0&&n*(n+1)%4!=3){
      cout<<-1<<endl;
      continue;
    }
    vector<vector<bool>> dp(n+1,vector<bool>(n*(n+1)/4+1,false));
    dp[0][0]=true;
    for(ll i=0;i<n;i++){
      for(ll j=0;j<=n*(n+1)/4;j++){
        if(j+a[i]<=n*(n+1)/4&&dp[i][j]){
          dp[i+1][j+a[i]]=true;
        }
        if(j+b[i]<=n*(n+1)/4&&dp[i][j]){
          dp[i+1][j+b[i]]=true;
        }
      }
    }
    if(!dp[n][n*(n+1)/4]){
      cout<<-1<<endl;
    }else{
      string ans;
      ll now=n*(n+1)/4;
      for(ll i=n;i>=1;i--){
        if(dp[i-1][now-a[i-1]]){
          now-=a[i-1];
          ans+='0';
        }else{
          now-=b[i-1];
          ans+='1';
        }
      }
      reverse(ans.begin(),ans.end());
      cout<<ans<<endl;
    }
  }
}