// (⁠◕⁠ᴗ⁠◕⁠✿⁠)

// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define srep(i, s, n) for (ll i = s; i < (n); i++)
#define len(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
using namespace std;
template<typename T> using vc = vector<T>;
template<typename T> using vv = vc<vc<T>>;
template<typename T> using vvv = vv<vc<T>>;
using vi = vc<int>;using vvi = vv<int>; using vvvi = vv<vi>;
using ll = long long;using vl = vc<ll>;using vvl = vv<ll>; using vvvl = vv<vl>;
using ld = long double; using vld = vc<ld>; using vvld = vc<vld>; using vvvld = vc<vvld>;
using uint = unsigned int;
using ull = unsigned long long;
const ld pi = 3.141592653589793;
const int inf = 0x3f3f3f3f;
const ll INF = 0x3f3f3f3f3f3f3f3f;
// const ll mod = 1000000007;
const ll mod = 998244353;
inline bool inside(ll y, ll x, ll H, ll W) {return 0 <= (y) and (y) < (H) and 0 <= (x) and (x) < (W); }

#define debug(var)  do{std::cout << #var << " : \n";view(var);}while(0)
template<typename T> void view(T e){cout << e << endl;}
template<typename T> void view(const vc<T>& v){for(const auto& e : v){ cout << e << " "; } cout << endl;}
template<typename T> void view(const vv<T>& vv){ for(const auto& v : vv){ view(v); } }


int main(){
    int M = 100;
    vvi dp(M + 1, vi (M * (M + 1) / 2 + 1, 0));
    dp[0][0] = 1;
    srep(i, 1, M + 1) rep(j, i * (i + 1) / 2 + 1){
        if (dp[i - 1][j]) dp[i][j] = 1;
        if (j - i >= 0 && dp[i - 1][j - i]) dp[i][j] = 1;
    }
    int T; cin >> T;
    vc<string> ret;
    while (T--){
        int N; cin >> N;
        if (N * (N + 1) % 4 || dp[N][N * (N + 1) / 4] == 0) ret.push_back("-1");
        else{
            string ans = "";
            int nw = N * (N + 1) / 4;
            for (int i = N; i > 0; i--){
                if (dp[i - 1][nw]) ans += '0';
                else{
                    ans += '1';
                    nw -= i;
                }
            }
            reverse(all(ans));
            ret.push_back(ans);
        }
    }
    for (auto x : ret) cout << x << endl;
}