#include <bits/stdc++.h>
#ifdef ONPC
#include "t_debug.cpp"
#else
#define debug(...) 42
#endif
#define sz(a) ((int)(a).size())
using namespace std;
using ll = long long;
const int INF = 1e9;
const ll INFL = 1e18;
const int RANDOM = chrono::high_resolution_clock::now().time_since_epoch().count();
mt19937 rng(RANDOM);
template<typename T, typename U> istream& operator>>(istream& is, pair<T, U>& p) { return is >> p.first >> p.second; }
const int N = 2e5, LOGN = 17, MOD = 1e9+7;
string solve(const string& s) {
int n = s.size();
string res(n, '?');
auto valid = [&](int i, int j) {
map<char,int> count;
for (int k = i; k <= j; k++) {
count[s[i]]++;
}
for (auto[k, v] : count) {
if (v%2) return false;
}
int depth = 0;
for (; i <= j; i++) {
if (res[i] =='(') depth++;
if (res[i] == ')') depth--;
if (depth < 0) return false;
}
return depth == 0;
};
for (int i = 0; i < n; i++) {
if (res[i] != '?') continue;
for (int j = n-1; j > i; j--) {
if (s[i] != s[j]) continue;
if (res[j] != '?') continue;
if (valid(i+1, j-1)) {
res[i] = '(';
res[j] = ')';
break;
}
}
if (res[i] == '?') {
return "-1";
}
}
return res;
}
string solve_2(const string& s) {
int n = s.size();
string res(n, '?');
function<bool(int)> brute = [&](int i) {
if (i < n) {
res[i] = '(';
if (brute(i+1)) return true;
res[i] = ')';
return brute(i+1);
} else {
vector<int> matching(n, -1);
vector<int> cur;
for (int i = 0; i < n; i++) {
if (res[i] == '(') {
cur.push_back(i);
} else {
if (cur.empty()) return false;
matching[i] = cur.back();
matching[cur.back()] = i;
cur.pop_back();
}
}
if (!cur.empty()) return false;
for (int i = 0; i < n; i++) {
if (s[i] != s[matching[i]]) return false;
int depth = 0;
for (int j = i+1; j < matching[i]; j++) {
if (res[j] == '(') depth++;
else depth--;
if (depth < 0) return false;
}
if (depth != 0) return false;
}
return true;
}
};
if (!brute(0)) return "-1";
else return res;
}
signed main() {
int t = 1;
#ifdef ONPC
t = 10000;
#endif
while (t-- && cin) {
string s; cin >> s;
if (!cin) break;
#ifdef ONPC
string res1 = solve(s), res2 = solve_2(s);
cout << res1 << endl;
if (res1 != res2) {
cout << res2 << endl;
assert(false);
}
#else
cout << solve(s);
#endif
}
return 0;
}
/*
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▒▒████████ █████ ▒▒████████ █████ █████ ▒▒███████ ▒▒██████ █████
▒▒▒▒▒▒▒▒ ▒▒▒▒▒ ▒▒▒▒▒▒▒▒ ▒▒▒▒▒ ▒▒▒▒▒ ▒▒▒▒▒███ ▒▒▒▒▒▒ ▒▒▒▒▒
███ ▒███
▒▒██████
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*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Incorrect |
15 ms |
300 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Incorrect |
15 ms |
300 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |