Example

Input

1


Output

)(
#define  _CRT_SECURE_NO_WARNINGS
#pragma comment (linker, "/STACK:526000000")

#include "bits/stdc++.h"

using namespace std;
typedef string::const_iterator State;
#define eps 1e-11L
#define MAX_MOD 1000000007LL
#define GYAKU 500000004LL

#define MOD 998244353LL
#define seg_size 262144 * 4LL
#define pb push_back
#define mp make_pair
typedef long long ll;
#define REP(a,b) for(long long (a) = 0;(a) < (b);++(a))
#define ALL(x) (x).begin(),(x).end()

unsigned long xor128() {
	static unsigned long x = 123456789, y = 362436069, z = 521288629, w = time(NULL);
	unsigned long t = (x ^ (x << 11));
	x = y; y = z; z = w;
	return (w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)));
}
void init() {
	iostream::sync_with_stdio(false);
	cout << fixed << setprecision(20);
}

#define int ll

void solve(){
	int a;
	cin >> a;
	string s;
	for (int i = 1; i < a; ++i) {
		a -= i;
		s.push_back(')');
	}
	s.push_back(')');
	a -= s.length();
	s.push_back('(');
	for (int q = s.length() - 1; a != 0; --q, a++) {
		swap(s[q], s[q - 1]);
	}
	int cnt = 0;
	REP(i, s.length()) {
		if (s[i] == ')')cnt++;
		else cnt--;
	}
	while (cnt != 0) {
		s.push_back('(');
		cnt--;
	}
	cout << s << endl;
}

#undef int

int main() {
	init();
	solve();
}
