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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define fbo find_by_order
#define ook order_of_key
typedef long long ll;
typedef pair<int,ll> ii;
typedef vector<int> vi;
typedef long double ld;
typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> pbds;
typedef set<ll>::iterator sit;
typedef map<ll,ll>::iterator mit;
bool err;
string s;
void solve(int l, int r)
{
if(l>r) return ;
stack<char> S;
string ans;
int idx=-1;
if(s[l]==s[r])
{
solve(l+1,r-1);
if(err) return ;
s[l]='('; s[r]=')';
return ;
}
for(int i = r; i > l; i--)
{
if(!S.empty()&&S.top()==s[i])
{
S.pop();
}
else
{
S.push(s[i]);
}
if(s[l]==s[i-1]&&S.empty())
{
idx=i;
break;
}
}
if(idx<=l)
{
err=true;
return ;
}
/*
string l = s.substr(1,idx-2);
string r = s.substr(idx,int(s.length()) - idx);
l = solve(l);
if(err) return "";
r = solve(r);
if(err) return "";
return "("+l+")"+r;
*/
solve(l+1,idx-2);
solve(idx,r);
s[l]='('; s[idx-1]=')';
}
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
//for(int i = 0; i < 100000; i++) s+='a';
cin>>s;
/*
for(int i=0;i<n;i++)
{
stack<char> S;
for(int j=i;j<n;j++)
{
if(!S.empty()&&S.top()==s[j])
{
S.pop();
}
else S.push(s[j]);
if(S.empty())
{
//cerr<<i<<' '<<j<<'\n';
dp[i][j]=1;
}
}
}
*/
solve(0,int(s.length())-1);
if(err) cout<<-1<<'\n';
else cout<<s<<'\n';
}
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