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

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int T;
    cin >> T;
    while(T--){
        int n;
        cin >> n;
        if(n * (n + 1) % 4 != 0){
            cout << -1 <<'\n';
            continue;
        }
        int r = n * (n + 1) / 4;
        vector<int> dp(r + 1, -2);
        dp[0] = -1;
        for(int i = 1; i <= n; i++){
            for(int j = r - i; j >= 0; j--){
                if(dp[j] == -2) continue;
                if(dp[i + j] == -2) dp[i + j] = i;
            }
        }
        if(dp[r] == -2){
            cout << -1 << '\n';
            continue;
        }
        string ans(n, '0');
        while(dp[r] != -1){
            ans[dp[r] - 1] = '1';
            r -= dp[r];
        }
        cout << ans << '\n';
    }
}