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;
#define ll long long
#define all(aaa) aaa.begin(), aaa.end()
const int N = 1e5 + 5, A = 26;
int dp[N][A];
string ans, s;
void solve(int l, int r) {
if (l > r)
return;
int x = dp[r][s[l] - 'a'] - 1;
ans[l] = '(';
ans[x] = ')';
solve(l + 1, x - 1);
solve(x + 1, r);
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> s;
vector<char> stk;
for (char c : s) {
if (stk.empty() || stk.back() != c) {
stk.push_back(c);
}
else {
stk.pop_back();
}
}
if (!stk.empty()) {
cout << "-1\n";
return 0;
}
int n = s.size();
memset(dp, -1, sizeof(dp));
for (int i = 0; i < n; i++) {
dp[i][s[i] - 'a'] = i + 1;
if (i > 0 && dp[i - 1][s[i] - 'a'] > 1) {
for (int j = 0; j < A; j++) {
dp[i][j] = max(dp[i][j], dp[dp[i - 1][s[i] - 'a'] - 2][j]);
}
}
}
// for (int i = 0; i < n; i++) {
// for (int j = 0; j < 2; j++) {
// cout << dp[i][j] << " ";
// }
// cout << "\n";
// }
// cout << dp[4][1] << "\n";
// return 0;
ans.resize(n);
solve(0, n - 1);
cout << ans << "\n";
return 0;
}
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