Example

Input

1


Output

)(
#include <bits/stdc++.h>
#define For(i, a, b) for(int (i)=(int)(a); (i)<(int)(b); ++(i))
#define rFor(i, a, b) for(int (i)=(int)(a)-1; (i)>=(int)(b); --(i))
#define rep(i, n) For((i), 0, (n))
#define rrep(i, n) rFor((i), (n), 0)
#define fi first
#define se second
using namespace std;
typedef long long lint;
typedef unsigned long long ulint;
typedef pair<int, int> pii;
typedef pair<lint, lint> pll;
template<class T> bool chmax(T &a, const T &b){if(a<b){a=b; return true;} return false;}
template<class T> bool chmin(T &a, const T &b){if(a>b){a=b; return true;} return false;}
template<class T> T div_floor(T a, T b){
    if(b < 0) a *= -1, b *= -1;
    return a>=0 ? a/b : (a+1)/b-1;
}
template<class T> T div_ceil(T a, T b){
    if(b < 0) a *= -1, b *= -1;
    return a>0 ? (a-1)/b+1 : a/b;
}

constexpr lint mod = 1000000007;
constexpr lint INF = mod * mod;
constexpr int MAX = 200010;

int main(){
    lint K;
    scanf("%lld", &K);
    int n = 1;
    while((lint)n*(n+1)/2 < K) ++n;
    K = (lint)n*(n+1)/2 - K;
    int L = n;
    while(L && K >= L){
        K -= L;
        --L;
    }
    rep(i, n-L) printf("%s", "()");
    rep(i, L-K) printf("%c", ')');
    printf("%c", '(');
    rep(i, K) printf("%c", ')');
    rep(i, L-1) printf("%c", '(');
    printf("\n");
}
