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>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define F first
#define S second
#define pb push_back
#define endl "\n"
#define all(x) x.begin(), x.end()
const int M = 100007;
const ll inf = 2e9;
const ll mod = 1e9 + 7;
const double pi = acos(-1);
const int dx[] = {0, -1, 0, 1}, dy[] = {1, 0, -1, 0};
string s;
int n, dp[M][30];
char ans[M];
bool check(int start){
stack <int> st;
for(int i = start; i < n; ++i){
if(st.empty() || s[st.top()] != s[i]) st.push(i);
else st.pop();
}
return st.empty();
}
void solve(int l, int r){
if(l > r) return;
int mid = dp[r][s[l] - 'a'];
ans[l] = '(';
ans[mid] = ')';
solve(l + 1, mid - 1);
solve(mid + 1, r);
return;
}
int main()
{
cin >> s;
n = s.size();
if(!check(0)) return cout << -1 << endl, 0;
for(int i = 0; i < n; ++i) for(int j = 0; j < 26; ++j) dp[i][j] = -1;
dp[0][s[0] - 'a'] = 0;
for(int i = 1; i < n; ++i){
dp[i][s[i] - 'a'] = i;
for(int j = 0; j < 26; ++j) if(j != s[i] - 'a'){
int l = dp[i - 1][s[i] - 'a'];
if(l) dp[i][j] = dp[l - 1][j];
}
}
solve(0, n - 1);
for(int i = 0 ; i < n; ++i) cout << ans[i];
cout << endl;
return 0;
}
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