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 <iostream>
#include <cstdio>
#include <algorithm>
#include <string.h>
#include <vector>
using namespace std;
#define endl '\n'
#define ll long long
#define pi pair<int, int>
#define f first
#define s second
const int maxn = 100001, k = 26;
int n;
string s;
int it[maxn], l[maxn], p[maxn];
int tr[maxn][k];
vector<int> v[maxn];
int m = 1;
string ret;
void solve(int l, int r){
if(l > r) return;
int x = *--upper_bound(v[it[l]].begin(), v[it[l]].end(), r);
ret[l - 1] = '(', ret[x] = ')';
solve(l + 1, x), solve(x + 2, r);
}
int main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> s;
n = s.size();
l[0] = -1;
for(int i = 1; i <= n; i++){
int c = s[i - 1] - 'a';
if(l[it[i - 1]] == c){
it[i] = p[it[i - 1]];
}else{
if(!tr[it[i - 1]][c]) tr[it[i - 1]][c] = m++;
p[it[i] = tr[it[i - 1]][c]] = it[i - 1];
l[it[i]] = c;
}
v[it[i]].push_back(i);
}
if(it[n]){
cout << -1 << endl;
}else{
ret.resize(n);
solve(1, n);
cout << ret << endl;
}
return 0;
}
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