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> //Andrei Alexandru a.k.a Sho10
#define ll long long
#define double long double
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#define all(a) (a).begin(), (a).end()
#define f first
#define s second
#define pb push_back
#define mp make_pair
#define pi pair
#define rc(s) return cout<<s,0
#define endl '\n'
#define mod 1000000007
#define PI 3.14159265359
#define MAXN 100005
#define INF 1000000005
#define LINF 1000000000000000005ll
#define CODE_START ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
using namespace std;
ll n;
string s;
vector<ll>v;
void calc(ll l,ll r){
if(l>r){
return;
}
if(s[l]==s[r]){
cout<<'(';
calc(l+1,r-1);
cout<<')';
return;
}
ll mid=v[r];
if(s[mid-1]!=s[l]){
mid=v[mid-1];
}
cout<<'(';
calc(l+1,mid-2);
cout<<')';
calc(mid,r);
}
int32_t main(){
CODE_START;
cin>>s;
n=s.size();
for(ll i=0;i<n;i++)
{
if(!v.empty()&&s[v.back()]==s[i]){
v.pop_back();
}else v.pb(i);
}
if(v.size()){
rc("-1");
}
v.assign(n,-1);
for(ll i=1;i<n;i++)
{
v[i]=i-1;
while(v[i]>=0&&s[v[i]]!=s[i]){
v[i]=v[v[i]]-1;
}
}
calc(0,n-1);
}
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