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;
const int N = 1e5 + 1;
const int AL = 26;
int n, answer[N];
string s;
void readInput(){
cin >> s;
n = s.size();
s = '*' + s;
}
bool check(){
stack <int> st;
for(int i = 1; i <= n; i++)
if (answer[i] != -1){
if (answer[i] == 1)
st.push(i);
else if (!st.empty() && s[st.top()] == s[i])
st.pop();
else
return 0;
} else {
if (!st.empty() && s[st.top()] == s[i])
st.pop();
else
st.push(i);
}
return st.empty();
}
void solve(){
for(int i = 1; i <= n; i++)
answer[i] = -1;
if (!check()){
cout << -1;
return;
}
for(int i = 1; i <= n; i++){
answer[i] = 1;
answer[i] = check();
}
for(int i = 1; i <= n; i++)
cout << (answer[i] == 1? '(' : ')');
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
readInput();
solve();
return 0;
}
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