#include <bits/stdc++.h>
using namespace std;
using ll=long long;
using pll=pair<ll,ll>;
using tll=tuple<ll,ll,ll>;
using ld=long double;
const ll INF=(1ll<<60);
#define rep(i,n) for(ll i=0;i<(ll)(n);i++)
#define all(v) v.begin(),v.end()
template<class T> void chmin(T &a,T b){
    if(a>b){
        a=b;
    }
}
template<class T> void chmax(T &a,T b){
    if(a<b){
        a=b;
    }
}
int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    ll t;
    cin >> t;
    while(t--){
        ll n;
        cin >> n;
        ll k=n*(n+1)/2;
        if(k%2!=0){
            cout << "-1\n";
            continue;
        }
        k/=2;
        vector<vector<__int128>> dp(n+1,vector<__int128>(k+1,-1));
        dp[0][0]=0;
        rep(i,n){
            rep(j,k+1){
                if(dp[i][j]==-1) continue;
                dp[i+1][j]=dp[i][j];
                if(j+(i+1)<=k) dp[i+1][j+(i+1)]=dp[i][j]|((__int128)1<<i);
            }
        }
        if(dp[n][k]==-1) cout << "-1\n";
        else{
            rep(i,n){
                if(dp[n][k]&((__int128)1<<i)) cout << '1';
                else cout << '0';
            }
            cout << '\n';
        }
    }
}