#include <bits/stdc++.h>
using namespace std;
#define int long long
#define endl '\n'
#define vi vector<int>
#define vb vector<bool>
#define pii pair<int,int>
#define mod 1000000007
#define ss second
#define si(c)  (int)((c).size())
#define ff first
#define vpii vector<pii>
#define vvpii vector<vpii>
#define vvi vector<vi>
#define pb push_back
#define vs vector<string>
#define all(x) x.begin(),x.end()
#define mii map<int,int>
#define vd vector<double>
#define deb(x) cout<<#x<<" -> "<<x<<endl
const int inf=0x3f3f3f3f3f3f3f3f;
#define MAXN 1000000007
const int N = (int) 1e7 + 100;
#define INT_SIZE 32
  


int32_t main() {
    int t=1;
    cin>>t;
    while(t--){
        int n;
        string s;
        cin>>n;
        cin>>s;
        int cnt=0;
        string a,b;
        for(int i=0;i<n;i++){
            if(s[i]=='1') cnt++;
        }
        if(s[0]!='1'||s[n-1]!='1'||cnt%2==1){
            cout<<"No"<<endl;
        }
        else{
            int cnt1=0;
            int alpha=0;
            for(int i=0;i<n;i++){
                if(s[i]=='1'){
                    if(cnt1<cnt/2){
                        a+='(';
                        b+='(';
                    }
                    else{
                        a+=')';
                        b+=')';
                    }
                    cnt1++;
                }
                else{
                    if(alpha==0){
                        a+=')';
                        b+='(';
                    }
                    else{
                        a+='(';
                        b+=')';
                    }
                    alpha=1-alpha;
                }
            }
            cout<<"Yes"<<endl;
            cout<<a<<endl;
            cout<<b<<endl;
        }
    }
}