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

int main(){
  int N;
  cin >> N;
  vector<pair<int,int>> A(2*N);
  for(int i=0;i<2*N;i++){
    int a;
    cin >> a;
    A[i] = make_pair(a,i);
  }
  sort(A.begin(),A.end());
  vector<int> c(2*N);
  for(int i=0;i<N;i++) c[A[i].second] = 1;
  for(int i=0;i<N;i++) c[A[N+i].second] = 2;
  vector<pair<int,int>> s(0);
  vector<char> ans(2*N);
  for(int i=0;i<2*N;i++){
    if(s.size() == 0) s.push_back(make_pair(c[i],i));
    else if(s.back().first == c[i]) s.push_back(make_pair(c[i],i));
    else{
      int a = s.back().second;
      int b = i;
      if(a > b) swap(a,b);
      s.pop_back();
      ans[a] = '(';
      ans[b] = ')';
    }
  }
  for(int i=0;i<2*N;i++) cout << ans[i];
  cout << endl;
}
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using uint = unsigned int;
using ull = unsigned long long;
#define rep(i,n) for(int i=0;i<int(n);i++)
#define rep1(i,n) for(int i=1;i<=int(n);i++)
#define per(i,n) for(int i=int(n)-1;i>=0;i--)
#define per1(i,n) for(int i=int(n);i>0;i--)
#define all(c) c.begin(),c.end()
#define si(x) int(x.size())
#define pb emplace_back
#define fs first
#define sc second
template<class T> using V = vector<T>;
template<class T> using VV = vector<vector<T>>;
template<class T,class U> void chmax(T& x, U y){if(x<y) x=y;}
template<class T,class U> void chmin(T& x, U y){if(y<x) x=y;}
template<class T> void mkuni(V<T>& v){sort(all(v));v.erase(unique(all(v)),v.end());}
template<class T> int lwb(const V<T>& v, const T& a){return lower_bound(all(v),a) - v.begin();}
template<class S,class T> ostream& operator<<(ostream& o,const pair<S,T> &p){
	return o<<"("<<p.fs<<","<<p.sc<<")";
}
template<class T> ostream& operator<<(ostream& o,const vector<T> &vc){
	o<<"{";
	for(const T& v:vc) o<<v<<",";
	o<<"}";
	return o;
}
constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n-1); }

#ifdef LOCAL
#define show(x) cerr << "LINE" << __LINE__ << " : " << #x << " = " << (x) << endl
void dmpr(ostream& os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
	os<<t<<" ~ ";
	dmpr(os,args...);
}
#define shows(...) cerr << "LINE" << __LINE__ << " : ";dmpr(cerr,##__VA_ARGS__)
#define dump(x) cerr << "LINE" << __LINE__ << " : " << #x << " = {";  \
	for(auto v: x) cerr << v << ","; cerr << "}" << endl;
#else
#define show(x) void(0)
#define dump(x) void(0)
#define shows(...) void(0)
#endif

int main(){
	cin.tie(0);
	ios::sync_with_stdio(false);		//DON'T USE scanf/printf/puts !!
	cout << fixed << setprecision(20);

	int N; cin >> N;
	V<double> A(N); rep(i,N) cin >> A[i];
	auto f = [&](double x){
		double res = 0;
		rep(i,N) res += x + A[i] - min(A[i],x+x);
		return res;
	};
	double lb = 0, ub = 1e9;
	rep(t,120){
		double ma = (lb+lb+ub)/3, mb = (lb+ub+ub)/3;
		if(f(ma) < f(mb)) ub = mb;
		else lb = ma;
	}
	show(lb);
	cout << f(lb)/N << endl;
}
