#include <bits/stdc++.h>
using namespace std;

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int T; cin >> T;
    while(T--){
        int N; cin >> N;
        if((N*(N+1)/2)%2){cout << -1 << endl; continue;}
        string answer = "";
        int goal = (N*(N+1)/4);
        for(int i=N; i>=1; i--){
            if(goal >= i) answer += '1',goal -= i;
            else answer += '0';
        }
        reverse(answer.begin(),answer.end());
        cout << answer << endl;
    }
}