Example

Input

1


Output

)(
#include "iostream"
#include "climits"
#include "list"
#include "queue"
#include "stack"
#include "set"
#include "functional"
#include "algorithm"
#include "string"
#include "map"
#include "unordered_map"
#include "unordered_set"
#include "iomanip"
#include "cmath"
#include "random"
#include "bitset"
#include "cstdio"
#include "numeric"
#include "cassert"
#include "ctime"

using namespace std;

constexpr long long int MOD = 1000000007;
//constexpr int MOD = 1000000007;
//constexpr int MOD = 998244353;
//constexpr long long int MOD = 998244353;
constexpr double EPS = 1e-12;

//int N, M, K, T, H, W, L, R;
long long int N, M, K, T, H, W, L, R;


int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);

	cin >> N;
	for (int i = 1; i <= N; i++) {
		if (i*(i + 1) / 2 >= N) {
			string ans;
			int box = N;
			for (int j = 1; j < i; j++) {
				box -= j;
				ans.push_back('(');
			}
			string t;
			for (int j = 0; j < box; j++) {
				t.push_back(')');
			}
			t.push_back('(');
			for (int j = box; j < i; j++) {
				t.push_back(')');
			}
			reverse(ans.begin(), ans.end());
			cout << t + ans << endl;
			break;
		}
	}
}
