This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,fma,popcnt")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/trie_policy.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define gcd __gcd
#define fastio ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define rep(i, n) for (int i=0; i<(n); i++)
#define rep1(i, n) for (int i=1; i<=(n); i++)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define endl "\n"
typedef long long ll;
typedef unsigned long long ull;
typedef unsigned uint;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
typedef vector<ll> vll;
typedef vector<vector<ll>> vvll;
typedef vector<bool> vb;
typedef vector<vector<bool>> vvb;
template<typename T, typename cmp = less<T>>
using ordered_set = tree<T, null_type, cmp, rb_tree_tag, tree_order_statistics_node_update>;
typedef trie<string, null_type, trie_string_access_traits<>, pat_trie_tag, trie_prefix_search_node_update> pref_trie;
int32_t main() {
fastio;
string s; cin >> s;
int n = s.size();
auto valid = [&](stack<char> st, int i) {
for(int j = i; j < n; j++) {
if(!st.empty() && st.top() == s[i]) st.pop();
else st.push(s[i]);
}
return st.empty();
};
vector<char> ans(n);
stack<char> st;
rep(i, n) {
if(!st.empty() && st.top() == s[i]) {
st.push(s[i]);
if(valid(st, i + 1)) ans[i] = '(';
else ans[i] = ')', st.pop(), st.pop();
}
else st.push(s[i]), ans[i] = '(';
}
rep(i, n) cout << ans[i];
}
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