This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
#ifndef ONLINE_JUDGE
#include "AkbarKING.h" // aska geldi akbarking.h
#else
#define debug(...)
#define debugArr(...)
#define debugG(...)
#endif
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/hash_policy.hpp>
#define int long long
#define $AzH_TxdmN$ ios_base::sync_with_stdio(0);cin.tie(nullptr);cout.tie(nullptr);
#pragma GCC target("sse,sse2,sse3,ssse3,popcnt,abm,mmx,tune=native")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("no-stack-protector")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("fast-math")
#define ep emplace_back
#define pb push_back
#define pii pair<int,int>
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
using namespace std;
using namespace __gnu_pbds;
template <typename T>
using __indexed_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template <typename T>
using __indexed_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int sz = 3e5+9;
const int LOG = 63;
const int MOD = 1e9+7;
const int INF = 1e18;
string s;
bool check()
{
if ((int)s.length() & 1)
{
cout<<"-1\n";
return 0;
}
stack<int>st;
for (int i = 0; i < (int)s.length(); ++i)
{
if (!st.empty() && s[st.top()] == s[i])
{
st.pop();
}
else
{
st.push(i);
}
}
if (!st.empty())
{
cout<<"-1\n";
return 0;
}
return 1;
}
void solve()
{
cin>>s;
if (check())
{
string res = "";
stack<int>st;
for (int i = 0; i < (int)s.length(); ++i)
{
stack<int>nwst = st;
nwst.push(i);
for (int j = i + 1; j < (int)s.length(); ++j)
{
if (!nwst.empty() && s[j] == s[nwst.top()])
{
nwst.pop();
}
else
{
nwst.push(j);
}
}
if (nwst.empty())
{
res += "(";
st.push(i);
}
else
{
res += ")";
st.pop();
}
}
cout<<res<<'\n';
}
}
signed main()
{
$AzH_TxdmN$
//freopen("match.in", "r", stdin);
//freopen("match.out", "w", stdout);
int t = 1;
//cin>>t;
while (t--)
{
solve();
}
}
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