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 dbg() cerr <<
#define name(x) (#x) << ": " << (x) << ' ' <<
// aabcdaffadcb
using namespace std;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
string s; getline(cin, s);
int n = s.size();
vector<vector<int>> nxt_pos(n, vector<int>(26, -1));
for (int i = 0; i < n; ++i) {
// if (i != 0) dbg() name(i) name(nxt_pos[i - 1][s[i] - 'a']) endl;
for (int j = 0; j < 26; ++j) {
if (j == s[i] - 'a') {
nxt_pos[i][j] = i;
} else if (i == 0 || nxt_pos[i - 1][s[i] - 'a'] <= 0) {
nxt_pos[i][j] = -1;
} else {
// dbg() name(i) name(j) "";
nxt_pos[i][j] = nxt_pos[nxt_pos[i - 1][s[i] - 'a'] - 1][j];
// dbg() name(nxt_pos[i][j]) endl;
}
}
}
string ans(n, '.');
function<void(int, int)> Solve = [&](int l, int r) {
if (l > r) return;
// dbg() name(l) name(r) endl;
if ((r - l + 1) & 1) throw -1;
if (l + 1 == r) {
if (s[l] != s[r]) throw -1;
ans[l] = '(';
ans[r] = ')';
return;
}
int m = nxt_pos[r][s[l] - 'a'];
// dbg() name(m) endl;
if (m <= l) throw -1;
ans[l] = '(';
ans[m] = ')';
Solve(l + 1, m - 1);
Solve(m + 1, r);
};
try {
Solve(0, n - 1);
} catch (int e) {
cout << e << endl;
return 0;
}
cout << ans << endl;
}
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