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;
// subtask 2
int n, cnt[2005];
char res[2005];
string s;
void solve(int l, int r) {
if (l > r) return;
stack<int> st;
for (int i = l + 1; i <= r; ++i) {
cnt[i] = 0;
if (!st.size()) {
st.push(s[i]), cnt[i] += s[i] == s[l];
}
else {
if (st.top() == s[i]) st.pop();
}
}
while (st.size()) st.pop();
for (int i = r; i >= l + 1; --i) {
if (!st.size()) {
st.push(s[i]), cnt[i] += s[i] == s[l];
}
else {
if (st.top() == s[i]) st.pop();
}
}
int pos = 0;
for (int i = l + 1; i <= r; ++i) {
if (cnt[i] == 2) pos = i;
}
if (!pos) {
cout << -1; exit(0);
}
res[l] = '(', res[pos] = ')';
solve(l + 1, pos - 1), solve(pos + 1, r);
}
int main() {
ios::sync_with_stdio(false);
cin >> s, n = s.size();
if (n > 2000) return 0;
solve(0, n - 1);
for (int i = 0; i < n; ++i) cout << res[i];
}
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