Example

Input

1


Output

)(
#include<bits/stdc++.h>
using namespace std;
 
#define int long long
typedef vector<int>vint;
typedef pair<int,int>pint;
typedef vector<pint>vpint;
#define rep(i,n) for(int i=0;i<(n);i++)
#define reps(i,f,n) for(int i=(f);i<(n);i++)
#define all(v) (v).begin(),(v).end()
#define each(it,v) for(__typeof((v).begin()) it=(v).begin();it!=(v).end();it++)
#define pb push_back
#define fi first
#define se second
template<typename A,typename B>inline void chmin(A &a,B b){if(a>b)a=b;}
template<typename A,typename B>inline void chmax(A &a,B b){if(a<b)a=b;}
 
 
int A;
 
 
string F(int len){
    int x=len/2;
    if(x*(x+1)/2<A)return "";
 
    string S="";
 
    int st=0;
    int op=x,en=x;
    int cost=0;
    for(int i=0;i<len;i++){
        if(op){
            int sst=st+1;
            int sop=op-1;
            int sen=en;
            int scost=cost+max(-st,0ll);
            int t=min(sen-sst,sop);
            scost+=t*(t+1)/2;
            if(scost>=A){
                S+="(";
                op--;
                cost+=max(-st,0ll);
                st++;
            }
            else{
                S+=")";
                en--;
                st--;
            }
        }
        else {S+=")";en--;st--;}
 
 
        //cout<<S<<" "<<st<<" "<<op<<" "<<en<<" "<<cost<<endl;
    }
    return S;
}
 
signed main(){
    cin>>A;
    for(int i=1;;i++){
        if(i*(i+1)/2>=A){
            cout<<F(i*2)<<endl;
            return 0;
        }
    }
    return 0;
}