#include <bits/stdc++.h> // Tomasz Nowak
using namespace std; // XIII LO Szczecin
using LL = long long; // Poland
#define FOR(i, l, r) for(int i = (l); i <= (r); ++i)
#define REP(i, n) FOR(i, 0, (n) - 1)
template<class T> int size(T &&x) {
return int(x.size());
}
template<class A, class B> ostream& operator<<(ostream &out, const pair<A, B> &p) {
return out << '(' << p.first << ", " << p.second << ')';
}
template<class T> auto operator<<(ostream &out, T &&x) -> decltype(x.begin(), out) {
out << '{';
for(auto it = x.begin(); it != x.end(); ++it)
out << *it << (it == prev(x.end()) ? "" : ", ");
return out << '}';
}
void dump() {}
template<class T, class... Args> void dump(T &&x, Args... args) {
cerr << x << "; ";
dump(args...);
}
#ifdef DEBUG
struct Nl{~Nl(){cerr << '\n';}};
# define debug(x...) cerr << (strcmp(#x, "") ? #x ": " : ""), dump(x), Nl(), cerr << ""
#else
# define debug(...) 0 && cerr
#endif
mt19937_64 rng(0);
int rd(int l, int r) {
return uniform_int_distribution<int>(l, r)(rng);
}
// end of templates
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
string s;
cin >> s;
int n = size(s);
vector<int> value(n);
REP(i, n)
value[i] = int(s[i] - 'a');
#ifdef DEBUG
constexpr int alpha = int('c' - 'a' + 1);
#else
constexpr int alpha = int('z' - 'a' + 1);
#endif
using BS = bitset<alpha>;
BS empty;
vector<BS> prefix(n);
vector<vector<int>> best_start(n, vector<int>(alpha, -1));
FOR(i, 2, n - 1) {
REP(c, alpha) {
if(value[i] == value[i - 1] and value[i - 2] == c)
best_start[i][c] = i - 1;
else {
if(value[i] == value[i - 1])
best_start[i][c] = best_start[i - 2][c];
int l = best_start[i - 1][value[i]];
if(l == -1)
continue;
assert(l != 0);
--l;
if(l == 0)
continue;
--l;
if(value[l] == c)
best_start[i][c] = max(best_start[i][c], l + 1);
else
best_start[i][c] = max(best_start[i][c], best_start[l][c]);
}
}
REP(c, alpha)
debug(i, c, best_start[i][c]);
}
auto possible = [&](int l, int r) {
vector<int> sztos;
FOR(i, l, r)
if(size(sztos) and sztos.back() == value[i])
sztos.pop_back();
else
sztos.emplace_back(value[i]);
return size(sztos) == 0;
};
if(not possible(0, n - 1)) {
cout << "-1\n";
return 0;
}
vector<int> answer(n, -1);
function<void (int, int)> divconq = [&](int l, int r) {
if(l > r)
return;
if(value[l] == value[r]) {
assert(answer[l] == -1 and answer[r] == -1);
answer[l] = 0;
answer[r] = 1;
divconq(l + 1, r - 1);
return;
}
int split_r = best_start[r][value[l]] - 1;
debug(l, r, split_r);
assert(answer[l] == -1 and answer[split_r] == -1);
answer[l] = 0;
answer[split_r] = 1;
divconq(l + 1, split_r - 1);
divconq(split_r + 1, r);
};
divconq(0, n - 1);
REP(i, n)
assert(answer[i] != -1);
for(int b : answer)
cout << (b ? ')' : '(');
cout << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
512 KB |
Output is correct |
5 |
Correct |
5 ms |
512 KB |
Output is correct |
6 |
Correct |
5 ms |
640 KB |
Output is correct |
7 |
Correct |
6 ms |
640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
512 KB |
Output is correct |
5 |
Correct |
5 ms |
512 KB |
Output is correct |
6 |
Correct |
5 ms |
640 KB |
Output is correct |
7 |
Correct |
6 ms |
640 KB |
Output is correct |
8 |
Correct |
7 ms |
1280 KB |
Output is correct |
9 |
Correct |
7 ms |
1536 KB |
Output is correct |
10 |
Correct |
6 ms |
1536 KB |
Output is correct |
11 |
Correct |
6 ms |
1536 KB |
Output is correct |
12 |
Correct |
23 ms |
10624 KB |
Output is correct |
13 |
Correct |
22 ms |
11520 KB |
Output is correct |
14 |
Correct |
26 ms |
12844 KB |
Output is correct |
15 |
Correct |
33 ms |
14456 KB |
Output is correct |
16 |
Correct |
35 ms |
14464 KB |
Output is correct |
17 |
Correct |
31 ms |
15360 KB |
Output is correct |
18 |
Correct |
38 ms |
14840 KB |
Output is correct |
19 |
Correct |
32 ms |
16376 KB |
Output is correct |
20 |
Correct |
22 ms |
11064 KB |
Output is correct |
21 |
Correct |
35 ms |
17708 KB |
Output is correct |