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 endl '\n'
using namespace std;
const int N = 100007;
int n;
char a[N],ans[N];
int pos[N];
bool can(int l, int r) {
  stack < char > s;
  int i;
  for(i=l;i<=r;i++) {
    if(!s.empty() && s.top()==a[i]) s.pop();
    else s.push(a[i]);
  }
  return s.empty();
}
void solve(int l, int r) {
  if(l>r) return;
  if(a[l]==a[r]) {
    ans[l]='(';
    ans[r]=')';
    solve(l+1,r-1);
    return;
  }
  
  int where=pos[r];
  while(a[l]!=a[where-1]) {
    where=pos[where-1];
  }
  assert(where>l);
  
  if(l<where-1) {
    ans[l]='(';
    ans[where-1]=')';
  }
  solve(l+1,where-2);
  solve(where,r);
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  int i,where;
  scanf("%s", a+1);
  n=strlen(a+1);
  if(!can(1,n)) {
    printf("-1\n");
    return 0;
  }
  /*pos[1]=0;
  for(i=2;i<=n;i++) {
    if(a[i]==a[i-1]) {
      pos[i]=i-1;
      continue;
    }
    else {
      stack < char > s;
      where=max(pos[i-1]-1,0);
      s.push(a[i]);
      while(where>0) {
        if(s.top()==a[where]) {
          s.pop();
          if(s.empty()) break;
        }
        else {
          s.push(a[where]);
        }
        --where;
      }
      pos[i]=where;
    }
  }*/
  pos[1]=0;
  for(i=2;i<=n;i++) {
    if(a[i]==a[i-1]) {
      pos[i]=i-1;
    }
    else {
      where=pos[i-1]-1;
      while(where) {
        if(a[i]==a[where]) pos[i]=where;
        break;
        where=pos[where-1]-1;
      }
    }
  }
  //for(i=1;i<=n;i++) printf("pos [ %d ] = %d\n", i, pos[i]);
  solve(1,n);
  for(i=1;i<=n;i++) {
    printf("%c", ans[i]);
  }
  printf("\n");
  return 0;
}
Compilation message (stderr)
match.cpp: In function 'int main()':
match.cpp:55:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%s", a+1);
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