/* in the name of Anton */

/*
  Compete against Yourself.
  Author - Aryan (@aryanc403)
  Atcoder library - https://atcoder.github.io/ac-library/production/document_en/
*/

#ifdef ARYANC403
    #include <header.h>
#else
    #pragma GCC optimize ("Ofast")
    #pragma GCC target ("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
    //#pragma GCC optimize ("-ffloat-store")
    #include<bits/stdc++.h>
    #define dbg(args...) 42;
#endif

// y_combinator from @neal template https://codeforces.com/contest/1553/submission/123849801
// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2016/p0200r0.html
template<class Fun> class y_combinator_result {
    Fun fun_;
public:
    template<class T> explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}
    template<class ...Args> decltype(auto) operator()(Args &&...args) { return fun_(std::ref(*this), std::forward<Args>(args)...); }
};
template<class Fun> decltype(auto) y_combinator(Fun &&fun) { return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun)); }

using namespace std;
#define fo(i,n)   for(i=0;i<(n);++i)
#define repA(i,j,n)   for(i=(j);i<=(n);++i)
#define repD(i,j,n)   for(i=(j);i>=(n);--i)
#define rep(n) for(int i = 0;i<n;i++)
#define all(x) begin(x), end(x)
#define sz(x) ((lli)(x).size())
#define pb push_back
#define mp make_pair
#define X first
#define Y second
#define endl "\n"

typedef long long int lli;
typedef long double mytype;
typedef pair<lli,lli> ii;
typedef vector<ii> vii;
typedef vector<lli> vi;

const auto start_time = std::chrono::high_resolution_clock::now();
void aryanc403()
{
#ifdef ARYANC403
auto end_time = std::chrono::high_resolution_clock::now();
std::chrono::duration<double> diff = end_time-start_time;
    cerr<<"Time Taken : "<<diff.count()<<"\n";
#endif
}

long long readInt(long long l, long long r, char endd) {
    long long x=0;
    int cnt=0;
    int fi=-1;
    bool is_neg=false;
    while(true) {
        char g=getchar();
        if(g=='-') {
            assert(fi==-1);
            is_neg=true;
            continue;
        }
        if('0'<=g&&g<='9') {
            x*=10;
            x+=g-'0';
            if(cnt==0) {
                fi=g-'0';
            }
            cnt++;
            assert(fi!=0 || cnt==1);
            assert(fi!=0 || is_neg==false);

            assert(!(cnt>19 || ( cnt==19 && fi>1) ));
        } else if(g==endd) {
            if(is_neg) {
                x=-x;
            }
            assert(l<=x&&x<=r);
            return x;
        } else {
            assert(false);
        }
    }
}
string readString(int l, int r, char endd) {
    string ret="";
    int cnt=0;
    while(true) {
        char g=getchar();
        assert(g!=-1);
        if(g==endd) {
            break;
        }
        cnt++;
        ret+=g;
    }
    assert(l<=cnt&&cnt<=r);
    return ret;
}
long long readIntSp(long long l, long long r) {
    return readInt(l,r,' ');
}
long long readIntLn(long long l, long long r) {
    return readInt(l,r,'\n');
}
string readStringLn(int l, int r) {
    return readString(l,r,'\n');
}
string readStringSp(int l, int r) {
    return readString(l,r,' ');
}

void readEOF(){
    assert(getchar()==EOF);
}

vi readVectorInt(int n,lli l,lli r){
    vi a(n);
    for(int i=0;i<n-1;++i)
        a[i]=readIntSp(l,r);
    a[n-1]=readIntLn(l,r);
    return a;
}

bool isBinaryString(const string s){
    for(auto x:s){
        if('0'<=x&&x<='1')
            continue;
        return false;
    }
    return true;
}

// #include<atcoder/dsu>
// vector<vi> readTree(const int n){
//     vector<vi> e(n);
//     atcoder::dsu d(n);
//     for(lli i=1;i<n;++i){
//         const lli u=readIntSp(1,n)-1;
//         const lli v=readIntLn(1,n)-1;
//         e[u].pb(v);
//         e[v].pb(u);
//         d.merge(u,v);
//     }
//     assert(d.size(0)==n);
//     return e;
// }

const lli INF = 0xFFFFFFFFFFFFFFFL;

lli seed;
mt19937 rng(seed=chrono::steady_clock::now().time_since_epoch().count());
inline lli rnd(lli l=0,lli r=INF)
{return uniform_int_distribution<lli>(l,r)(rng);}

class CMP
{public:
bool operator()(ii a , ii b) //For min priority_queue .
{    return ! ( a.X < b.X || ( a.X==b.X && a.Y <= b.Y ));   }};

void add( map<lli,lli> &m, lli x,lli cnt=1)
{
    auto jt=m.find(x);
    if(jt==m.end())         m.insert({x,cnt});
    else                    jt->Y+=cnt;
}

void del( map<lli,lli> &m, lli x,lli cnt=1)
{
    auto jt=m.find(x);
    if(jt->Y<=cnt)            m.erase(jt);
    else                      jt->Y-=cnt;
}

bool cmp(const ii &a,const ii &b)
{
    return a.X<b.X||(a.X==b.X&&a.Y<b.Y);
}

const lli mod = 1000000007L;
// const lli maxN = 1000000007L;

lli CompLIS(string s,string t){
    const lli n = sz(s);
    vector<vi> dp(n,vi(n,-1));
    auto solve=y_combinator([&](const auto &self,lli i,lli j)->lli{
        if(i<0||j<0)
            return 0;
        lli &ans=dp[i][j];
        if(ans!=-1)
            return ans;
        if(s[i]==t[j])
            return ans=1+self(i-1,j-1);
        return ans=0;
    });
    lli ans=0;
    for(lli i=0;i<n;i++)
        for(lli j=0;j<n;j++)
            ans=max(ans,solve(i,j));
    dbg(ans,s,t);
    return ans;
}

int correct(int oc, int zc)
{
    string a = "";
    string b = "";
    int x = zc;
    int y = oc;
    if (x < y)
    {
        rep(x)
        {
            a += '0';
        }
        rep(y)
        {
            a += '1';
        }
        int div = x + 1;
        int par = y % div;
        int minm = y / div;
        string temp = "";
        string temp1 = "";
        rep(minm)
        {
            temp += '1';
            temp1 += '1';
        }
        temp += '1';
        temp += '0';
        temp1 += '0';
        rep(par)
        {
            b += temp;
        }
        rep(x + 1 - par)
        {
            b += temp1;
        }
        b.pop_back();
    }
    else
    {
        rep(y)
        {
            a += '1';
        }
        rep(x)
        {
            a += '0';
        }
        int div = y + 1;
        int par = x % div;
        int minm = x / div;
        string temp = "";
        string temp1 = "";
        rep(minm)
        {
            temp += '0';
            temp1 += '0';
        }
        temp += '0';
        temp += '1';
        temp1 += '1';
        rep(par)
        {
            b += temp;
        }
        rep(y + 1 - par)
        {
            b += temp1;
        }
        b.pop_back();
    }
    return CompLIS(a,b);
}


int main(void) {
    ios_base::sync_with_stdio(false);cin.tie(NULL);
    // freopen("txt.in", "r", stdin);
    // freopen("txt.out", "w", stdout);
// cout<<std::fixed<<std::setprecision(35);
lli T=readIntLn(1,1e3);
lli sumN = 3e3;
while(T--)
{

    lli n=readIntLn(1,min(1000LL,sumN));
    sumN-=n;
    string s = readStringLn(n,n);
    assert(isBinaryString(s));
    sort(all(s));
    cout<<s<<endl;
    vi a(2);
    for(auto x:s)
        a[x-'0']++;
    bool fl=false;
    if(a[1]<a[0]){
        swap(a[0],a[1]);
        fl=true;
    }

    string t="";
    const lli pt = a[0]+1;
    const lli len = a[1];
    const lli b1 = (len+pt-1)/pt;
    const lli c1 = len%pt;
    const lli b2 = len/pt;
    const lli c2 = pt-c1;
    dbg(b1,b2,c1,c2,a);
    for(lli i=0;i<c1;i++)
        t+=string(b1,'1')+'0';
    for(lli i=0;i<c2;i++)
        t+=string(b2,'1')+'0';
    t.pop_back();
    if(fl){
        swap(a[0],a[1]);
        for(auto &x:t)
            x^=1;
    }
    lli ans1=CompLIS(s,t);
    reverse(all(t));
    lli ans2=CompLIS(s,t);

    if(ans1<ans2){
        reverse(all(t));
        swap(ans1,ans2);
    }
    const lli cans = correct(a[0],a[1]);
    if(ans1!=cans)
    cerr<<a[0]<<","<<a[1]<<":"<<ans1<<","<<cans<<endl;
    assert(ans1>=cans);
    dbg(ans1,cans,a);
    cout<<t<<endl;
}   aryanc403();
    readEOF();
    return 0;
}