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;
using ll = long long;
string str, res;
const ll N = 1e5;
bool prevPos_visited[N][27];
ll prevPos_result[N][27];
bool bad = false;
ll prevPos(ll i, ll c)
{
if(i<=0)
{
bad = true;
return -1;
}
if((str[i]-'a')==c) return i;
if(prevPos_visited[i][c])
return prevPos_result[i][c];
prevPos_visited[i][c] = 1;
prevPos_result[i][c] = prevPos(prevPos(i-1,str[i]-'a')-1,c);
return prevPos_result[i][c];
}
void construct(ll i, ll j)
{
ll k;
if((j-i)%2==0) bad=true;
else k = prevPos(j,str[i]-'a');
if(bad) return;
res[i] = '(', res[k]=')';
if(k-i>1)
construct(i+1,k-1);
if(k!=j)
construct(k+1,j);
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin>>str;
ll n = str.size();
res = str;
construct(0,n-1);
if(!bad)
cout<<res<<"\n";
else
cout<<"-1\n";
}
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