#include<bits/stdc++.h>
using namespace std ;
typedef long long ll ;
typedef unsigned long long ull ;
typedef pair < int , int > pii ;
typedef vector < int > vi ;
#define fi first
#define se second
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());

#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()

int n ;
string a ;

void solve ( ) {
    cin >> a ;
    n = a.size ( ) ;
    int sm = 0 ;
    for ( int i = n - 1 ; i >= 0 ; -- i ) {
        if ( a[ i ] == ')' ) { ++ sm ; }
        else { -- sm ; }
        if ( sm < 0 ) {
            cout << "impossible\n" ;
            return ;
        }
    }
    cout << a << "\n" ;
}

int main ( ) {
    ios_base :: sync_with_stdio ( false ) ;
    cin.tie ( NULL ) ;
    int t = 1 ; cin >> t ; 
    while ( t -- ) { solve ( ) ; }
    return 0 ;
}