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 FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;
string s;
int n, opt[100000][26];
char ans[100000];
void solve(int l = 0, int r = n - 1) {
if (l > r) return;
ans[l] = '(';
ans[opt[r][s[l] - 'a']] = ')';
solve(l + 1, opt[r][s[l] - 'a'] - 1);
solve(opt[r][s[l] - 'a'] + 1, r);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> s;
n = s.size();
stack<char> stck;
FOR(i, 0, n) {
if (stck.size() && s[i] == stck.top()) stck.pop();
else stck.push(s[i]);
FOR(j, 0, 26) {
if (j == s[i] - 'a') opt[i][j] = i;
else if (i && opt[i - 1][s[i] - 'a'])
opt[i][j] = opt[opt[i - 1][s[i] - 'a'] - 1][j];
else opt[i][j] = -1;
}
}
if (stck.size()) return cout << -1, 0;
solve();
FOR(i, 0, n) cout << ans[i];
return 0;
}
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