This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
typedef pair<ii, int> ri3;
#define mp make_pair
#define pb push_back
#define fi first
#define sc second
#define SZ(x) (int)(x).size()
#define ALL(x) begin(x), end(x)
#define REP(i, n) for (int i = 0; i < n; ++i)
#define FOR(i, a, b) for (int i = a; i <= b; ++i)
#define RFOR(i, a, b) for (int i = a; i >= b; --i)
int main() {
//freopen("in.txt", "r", stdin);
ios::sync_with_stdio(false);
cin.tie(0);
string S; cin >> S;
int N = S.length();
string T = "";
stack<char> stk;
FOR(i,0,N-1) if (stk.empty() || stk.top() != S[i]) stk.push(S[i]); else stk.pop();
if (!stk.empty()) { cout << -1 << '\n'; }
else {
FOR(i,0,N-1) {
int M = (int)T.length();
FOR(j,0,M-1) if (T[j] == '(') stk.push(S[j]); else stk.pop();
stk.push(S[i]);
//cout << i << " i stk " << stk.size() << " :: " << T << endl;
FOR(j,M+1,N-1) if (stk.empty() || stk.top() != S[j]) stk.push(S[j]); else stk.pop();
T += (stk.empty() ? '(' : ')');
while (!stk.empty()) stk.pop();
}
cout << T << '\n';
}
}
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