#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define vec(...) vector<__VA_ARGS__>
#define _48SMghu ios::sync_with_stdio(0),cin.tie(0)
using ll=long long;
using pii=pair<int,int>;
using vi=vector<int>;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}

void slv(){
	int n;
	cin>>n;
	int s=n*(n+1)/2;
	if(s%2){
		cout<<"-1\n";
		return;
	}
	s/=2;
	vec(vi) dp(n+1,vi(s+1,-1));
	dp[0][0]=1;
	rng(i,1,n+1){
		rep(j,s+1){
			if(dp[i-1][j]==-1) continue;
			dp[i][j]=0;
			int nj=j+i;
			if(nj<=s) dp[i][nj]=1;
		}
	}
	if(dp[n][s]==-1){
		cout<<"-1\n";
		return;
	}
	vi usd(n);
	int i=n,j=s;
	while(i>0){
		if(dp[i][j]==1) usd[i-1]=1,j-=i;
		i-=1;
	}
	rep(i,n){
		cout<<usd[i];
	}
	cout<<"\n";
}

signed main(){
_48SMghu;
	int __t;
	cin>>__t;
	rep(cs,__t){
		slv();
	}
}