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 <bits/stdc++.h>
using namespace std;
const int MAXN = 1e6+5;
string s;
int dp[MAXN][30];
char ans[MAXN];
void solve(int l,int r){
if(l>r){
return;
}
int mid = dp[r][s[l]-'a'];
if(l>=mid){
cout<<-1<<endl;
exit(0);
}
ans[l] = '(';
ans[mid] = ')';
solve(l+1,mid-1);
solve(mid+1,r);
}
int main() {
cin>>s;
int n = s.length();
for(int i=0;i<n;i++){
for(int j=0;j<26;j++){
if(s[i]==j+'a'){
dp[i][j] = i;
}else if(i && dp[i-1][s[i]-'a']>0){
dp[i][j] = dp[dp[i-1][s[i]-'a']-1][j];
}
}
}
solve(0,n-1);
for(int i=0;i<n;i++){
cout<<ans[i];
}
}
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