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 all(x) begin(x), end(x)
#define sz(x) ((int)size(x))
#define trace(x) cout << #x << ": " << (x) << endl;
typedef long long ll;
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
const int A = 26, N = 100000;
int mx_prv[N][A];
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
string s, ans;
cin >> s;
int n = sz(s);
ans.resize(n);
memset(mx_prv, -1, sizeof(mx_prv));
for (int i = 1; i < n; ++i) {
mx_prv[i][s[i] - 'a'] = i;
for (int c = 0; c < A; ++c) {
int j = mx_prv[i - 1][s[i] - 'a'] - 1;
if (j >= 0 && mx_prv[i][c] == -1) {
if ((s[j] - 'a') == c) {
mx_prv[i][c] = j;
} else {
mx_prv[i][c] = mx_prv[j][c];
}
}
}
}
vector<int> st;
for (int i = 0; i < n; ++i) {
if (st.empty() || s[st.back()] != s[i]) {
st.push_back(i);
} else {
st.pop_back();
}
}
if (!st.empty()) {
cout << -1;
return 0;
}
function<void(int, int)> solve = [&](int l, int r) {
if (l >= r) return;
int m = mx_prv[r][s[l] - 'a'];
ans[l] = '(', ans[m] = ')';
solve(l + 1, m - 1), solve(m + 1, r);
};
solve(0, n - 1);
cout << ans;
return 0;
}
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