#include <bits/stdc++.h>
#define int long long
using namespace std;
const int N = 20;
int n, h[N], c[N], m;
void dfs(int x, int y) {
int cnt = 0;
for(int i = x - 1; i >= 0; i--) {
cnt += c[x - 1 - i] * c[i];
if(cnt >= y) {
cnt -= c[x - 1 - i] * c[i];
int rk = y - cnt;
int p = (rk - 1) / c[x - i - 1];
if(x - 1 - i) {
cout << "(";
dfs(x - 1 - i, rk - p * c[x - i - 1]);
cout << ")";
}
cout << "X";
if(i) {
cout << "(";
dfs(i, p + 1);
cout << ")";
}
return;
}
}
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n; h[0] = h[1] = 1;
if(n == 1) {
cout << "X";
return 0;
}
for(int i = 2; i <= 18; i++)
h[i] = h[i-1] * (4 * i - 2) / (i + 1);
memcpy(c, h, sizeof(h));
for(int i = 2; i <= 18; i++) {
h[i] += h[i-1];
if(h[i] >= n) {
m = i;
break;
}
}
dfs(m, n - h[m - 1]);
return 0;
}
dfs(x,y) :x 点中排名为 y 的树