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;
#define LCBorz ios_base::sync_with_stdio(false); cin.tie(0);
#define int long long
#define all(x) x.begin(), x.end()
#define endl '\n'
const int N=200005;
const int INF=1e18;
vector<int> a[26];
vector<int> v;
string ans;
void solve(int l,int r){
if(l>=r)return;
auto it=--lower_bound(all(a[v[l]]),r);
if(*it<=l){
cout<<-1<<endl;
exit(0);
}
ans[l]='(';
ans[*it]=')';
solve(l+1,*it);
solve(*it+1,r);
}
int32_t main() {
LCBorz;
string s;cin>>s;
int n=s.size();
v.resize(n);
ans.assign(n,'0');
for(int i=0;i<n;i++){
int p=s[i]-'a';
v[i]=p;
a[p].push_back(i);
}
solve(0,n);
cout<<ans<<endl;
return 0;
}
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