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>
#define speed ios_base::sync_with_stdio(0); cin.tie(0)
#define all(x) (x).begin(),(x).end()
#define F first
#define S second
//#pragma GCC optimize("O3,unroll-loops")
//#pragma GCC target("avx,avx2")
//#pragma GCC target("popcnt")
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ldb;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const ll MAX=2e5+10,P=1e9+7;
const ll INF=0x3f3f3f3f,oo=0x3f3f3f3f3f3f3f3f;
const ldb eps=1e-6;
const ldb PI=acos(-1.0);
const int dir[4][2]={{0,1},{0,-1},{1,0},{-1,0}};
template<typename T>
using vvector = vector<vector<T>>;
int main() {
speed;
string s;
cin>>s;
stack<char> pr;
vector<int> cnt(30);
for (char c:s) {
if (!pr.empty() and pr.top()==c) pr.pop();
else pr.push(c);
cnt[c-'a']++;
}
if (!pr.empty()) {
cout<<"-1\n";
return 0;
}
vector<int> now(30);
for (char c:s) {
if (now[c-'a']<cnt[c-'a']/2) cout<<"(";
else cout<<")";
now[c-'a']++;
}
return 0;
}
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