#define _USE_MATH_DEFINES
#include <bits/stdc++.h>

using namespace std;

using i64 = long long;
#define forn(a, e) for (i64 a = 0; a < (i64)(e); a++)
#define forr(a, s, e) for (i64 a = s; a < (i64)(e); a++)
#define fore(e, a) for (auto& e : a)

#ifdef LOCAL
#define logv(a) {cerr << #a << " = "; fore(e, a) {cerr << e << " ";} cerr << "\n";}
#define logvp(a) {cerr << #a << " = "; fore(e, a) {cerr << "(" << e.first << ", " << e.second << ") ";} cerr << "\n";}
#define logvv(a) {cerr << #a << " = \n"; fore(r, a) { fore(e, r) {cerr << e << " ";} cerr << "\n";} }
#define logvf(a, field) {cerr << #a"."#field << " = \n"; fore(e, a) { cerr << e.field << " ";} cerr << "\n"; }
#define logvff(a, f1, f2) {cerr << #a".{"#f1 << ", "#f2 << "} = \n"; fore(e, a) { cerr << "(" << e.f1 <<", " << e.f2 << ") ";} cerr << "\n"; }
#define logs(a) cerr << #a << " = " << (a) << "\n";
#define logss(a, b) cerr << #a << " = " << (a) << ", " << #b << " = " << (b) << "\n";
#define logp(a) cerr << #a << " = " << "(" << a.first << ", " << a.second << ")" << "\n";
#define cond(pred, stmt) if (pred) { stmt }
#else
#define logv(a)
#define logvp(a)
#define logvv(a)
#define logvf(a, field)
#define logvff(a, f1, f2)
#define logs(a)
#define logss(a, b)
#define logp(a)
#define cond(pred, stmt)
#endif

using iip = pair<int, int>;
using llp = pair<i64, i64>;
using ivec = vector<int>;
using llvec = vector<i64>;
using svec = vector<string>;
template<typename T> using vec = vector<T>;

template<typename T, typename Dim>
auto make_vec(T value, Dim dim) { return vector<T>(dim, value); }
template<typename T, typename Dim1, typename... Dim>
auto make_vec(T value, Dim1 dim1, Dim... dims) { return make_vec(make_vec(value, dims...), dim1); }

template<typename T>
bool uax(T& v, const T& newv) { if (v < newv) { v = newv; return true; } else return false; }
template<typename T>
bool uin(T& v, const T& newv) { if (v > newv) { v = newv; return true; } else return false; }

template<typename T>
istream& operator>>(istream& is, vector<T>& c) { for (auto& e : c) is >> e; return is; }
template<typename T, size_t N>
istream& operator>>(istream& is, array<T, N>& c) { for (auto& e : c) is >> e; return is; }

template<typename ...T>
istream& read(T&... args) { return (cin >> ... >> args); }

static mt19937 rande(123123);
template<typename T>
T rand_int(T from, T to) { uniform_int_distribution<T> distr(from, to); return distr(rande); }

// const i64 INF = 2e18;
const int INF = 2e9;
const i64 M = 998244353;
const int MXB = 20;
using bin = bitset<MXB + 1>;
const double EPS = 1e-8;

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    rande.seed(chrono::steady_clock::now().time_since_epoch().count());

    int n;
    while (read(n)) {
        llvec a(2 * n);
        read(a);

        vec<iip> pa(2 * n);
        forn(i, 2 * n) {
            pa[i] = {a[i], i};
        }

        sort(pa.begin(), pa.end());

        ivec used(2 * n);

        forn(i, n) {
            used[pa[i].second] = true;
        }

        string res;
        int bal = 0;
        int last = 0;

        forn(i, 2 * n) {
            if (bal == 0) {
                last = used[i];
                res += '(';
                bal++;
            } else {
                if (used[i] == last) {
                    res += '(';
                    bal++;
                } else {
                    res += ')';
                    bal--;
                }
            }
        }

        cout << res << endl;
    }
}
#include<bits/stdc++.h>
#define M 400005
using namespace std;
int n;
pair<int,int> A[M],B[M],md;
int cnt[2];
char S[M];
int main(){
	scanf("%d",&n);n*=2;
	for(int i=1;i<=n;i++){
		scanf("%d",&A[i].first);
		A[i].second=i;
		B[i]=A[i];
	}
	sort(B+1,B+n+1);
	md=B[n/2];
	for(int i=1;i<=n;i++){
		int t=(A[i]<=md);
		if(cnt[!t]>0)S[i]=')',cnt[!t]--;
		else S[i]='(',cnt[t]++;
	}
	printf("%s\n",S+1);
	return 0;
}