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;
const int N=1e5+5;
int n;
int tot[30],cnt[30];
string t,ans;
stack<int> s;
void compress(int i){
ans[i]=')';
while(!s.empty()&&t[s.top()]!=t[i]){
int id=s.top();
s.pop();
cnt[t[id]-'a']--;
compress(id);
}
if(s.empty())cout << -1,exit(0);
int c=t[s.top()]-'a';
cnt[c]--;
tot[c]-=2;
s.pop();
}
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> t;
n=t.size();
for(auto x:t)tot[x-'a']++;
for(int i=0;i<26;i++)if(tot[i]&1)cout << -1,exit(0);
for(int i=0;i<n;i++){
int c=t[i]-'a';
ans.push_back('(');
if(cnt[c]>=tot[c]/2){
compress(i);
}else{
cnt[c]++;
s.emplace(i);
}
}
cout << ans;
}
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