#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i, a, b) for (ll i = a; i < b; i++)
#define all(a) begin(a), end(a)
template <class T> bool chmin(T& a, T b) {
  if (a <= b)
    return 0;
  a = b;
  return 1;
}
template <class T> bool chmax(T& a, T b) {
  if (a >= b)
    return 0;
  a = b;
  return 1;
}

void solve() {
  string s;
  cin >> s;
  int h = 0, mi = 0;
  for (auto c : s) {
    h += (c == '(' ? 1 : -1);
    chmin(mi, h);
  }
  if (h > mi) {
    cout << "impossible\n";
  }
  else {
    cout << s << "\n";
  }
}

int main() {
  cin.tie(0)->sync_with_stdio(0);
  int t;
  cin >> t;
  while (t--)
    solve();
  return 0;
}