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;
using ll = long long;
int n;
string s;
int ans[22], a[22];
bool ch = 0;
void solve(int bit) {
stack<char> st;
for (int i = 0;i < n;i++) {
a[i] = (bit >> i) & 1;
if (a[i]) {
if (st.empty()) return;
if (st.top() != s[i]) return;
st.pop();
}
else {
st.push(s[i]);
}
}
if (!st.empty()) return;
for (int i = 0;i < n;i++) {
if (ans[i] != a[i]) {
if (ans[i] > a[i]) {
for (int i = 0;i < n;i++) ans[i] = a[i];
}
break;
}
}
ch = 1;
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
memset(ans, 0x3f, sizeof ans);
cin >> s;
n = s.size();
for (int v = 0;v < (1 << n);v++) {
solve(v);
}
if (!ch) cout << -1;
else {
for (int i = 0;i < n;i++) {
cout << "()"[ans[i]];
}
}
return 0;
}
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