#include <bits/stdc++.h>
using namespace std;
int dep[109], N;
bool check(string V) {
int depth = 0;
for (int i = 0; i < V.size(); i++) {
if (V[i] == '(') depth++;
if (V[i] == ')') depth--;
if (depth < 0) return false;
}
if (depth != 0) return false;
return true;
}
bool isvalid(string V) {
// 反転位置は実は一通りに定まる
dep[0] = 0;
for (int i = 0; i < V.size(); i++) {
if (V[i] == '(') dep[i + 1] = dep[i] + 1;
if (V[i] == ')') dep[i + 1] = dep[i] - 1;
}
int cl = 0, cr = N;
for (int i = 0; i <= V.size(); i++) { if (dep[i] < 0) break; cl = i; }
for (int i = V.size(); i >= 0; i--) { if (dep[i] < dep[V.size()]) break; cr = i; }
if (cl == N && cr == 0) {
// 両方全部の場合
return true;
}
if (cl == N) {
// 左側だけ全部の場合
int sabun = dep[V.size()] / 2;
int mr = -10000;
for (int i = cr; i <= N; i++) mr = max(mr, dep[i]);
int pr = 10000; for (int i = N; i >= cr; i--) { if (dep[i] == mr) pr = i; }
int pl = -1; for (int i = 0; i <= pr; i++) { if (dep[i] == mr - sabun) pl = i; }
if (pl == -1 || pr == -1) return false;
string V1 = V;
for (int i = pl; i < pr; i++) {
if (V1[i] == '(') V1[i] = ')';
else V1[i] = '(';
}
return check(V1);
}
if (cr == 0) {
// 右側だけ全部の場合
int sabun = dep[V.size()] / 2;
int ml = -10000;
for (int i = 0; i <= cl; i++) ml = max(ml, dep[i]);
int pl = -1; for (int i = 0; i <= cl; i++) { if (dep[i] == ml) pl = i; }
int pr = -1; for (int i = N; i >= pl; i--) { if (dep[i] == ml + sabun) pr = i; }
if (pl == -1 || pr == -1) return false;
string V1 = V;
for (int i = pl; i < pr; i++) {
if (V1[i] == '(') V1[i] = ')';
else V1[i] = '(';
}
return check(V1);
}
// 共通部分がない場合
int sabun = dep[V.size()] / 2;
int ml = -10000, mr = -10000;
for (int i = 0; i <= cl; i++) ml = max(ml, dep[i]);
for (int i = cr; i <= N; i++) mr = max(mr, dep[i]);
int s = min(ml, mr - sabun);
int pl = -1; for (int i = 0; i <= cl; i++) { if (dep[i] == s) pl = i; }
int pr = -1; for (int i = N; i >= cr; i--) { if (dep[i] == s + sabun) pr = i; }
if (pl == -1 || pr == -1) return false;
string V1 = V;
for (int i = pl; i < pr; i++) {
if (V1[i] == '(') V1[i] = ')';
else V1[i] = '(';
}
return check(V1);
}
string S;
int main(){
cin >> N >> S; vector<int>vec;
if (N % 2 == 1) { cout << "0" << endl; return 0; }
for (int i = 0; i < S.size(); i++) {
if (S[i] == 'x') vec.push_back(i);
}
int cnt = 0;
for (int i = 0; i < (1 << vec.size()); i++) {
string T = S;
for (int j = 0; j < vec.size(); j++) {
if ((i & (1 << j)) != 0) T[vec[j]] = ')';
else T[vec[j]] = '(';
}
bool I = isvalid(T);
if (I == true) cnt++;
}
cout << cnt << endl;
return 0;
}
Compilation message
securitygate.cpp: In function 'bool check(std::__cxx11::string)':
securitygate.cpp:8:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 0; i < V.size(); i++) {
~~^~~~~~~~~~
securitygate.cpp: In function 'bool isvalid(std::__cxx11::string)':
securitygate.cpp:20:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 0; i < V.size(); i++) {
~~^~~~~~~~~~
securitygate.cpp:26:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 0; i <= V.size(); i++) { if (dep[i] < 0) break; cl = i; }
~~^~~~~~~~~~~
securitygate.cpp: In function 'int main()':
securitygate.cpp:93:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 0; i < S.size(); i++) {
~~^~~~~~~~~~
securitygate.cpp:101:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int j = 0; j < vec.size(); j++) {
~~^~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
256 KB |
Output is correct |
3 |
Correct |
2 ms |
432 KB |
Output is correct |
4 |
Correct |
3 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
540 KB |
Output is correct |
6 |
Correct |
3 ms |
384 KB |
Output is correct |
7 |
Correct |
2 ms |
384 KB |
Output is correct |
8 |
Correct |
2 ms |
384 KB |
Output is correct |
9 |
Correct |
2 ms |
256 KB |
Output is correct |
10 |
Correct |
2 ms |
384 KB |
Output is correct |
11 |
Correct |
2 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
256 KB |
Output is correct |
13 |
Correct |
2 ms |
384 KB |
Output is correct |
14 |
Correct |
3 ms |
384 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
2 ms |
256 KB |
Output is correct |
17 |
Correct |
2 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
256 KB |
Output is correct |
3 |
Correct |
2 ms |
432 KB |
Output is correct |
4 |
Correct |
3 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
540 KB |
Output is correct |
6 |
Correct |
3 ms |
384 KB |
Output is correct |
7 |
Correct |
2 ms |
384 KB |
Output is correct |
8 |
Correct |
2 ms |
384 KB |
Output is correct |
9 |
Correct |
2 ms |
256 KB |
Output is correct |
10 |
Correct |
2 ms |
384 KB |
Output is correct |
11 |
Correct |
2 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
256 KB |
Output is correct |
13 |
Correct |
2 ms |
384 KB |
Output is correct |
14 |
Correct |
3 ms |
384 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
2 ms |
256 KB |
Output is correct |
17 |
Correct |
2 ms |
384 KB |
Output is correct |
18 |
Correct |
2 ms |
384 KB |
Output is correct |
19 |
Correct |
3 ms |
304 KB |
Output is correct |
20 |
Correct |
4 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
7 ms |
256 KB |
Output is correct |
23 |
Correct |
3 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
256 KB |
Output is correct |
25 |
Correct |
2 ms |
384 KB |
Output is correct |
26 |
Correct |
3 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
6 ms |
384 KB |
Output is correct |
29 |
Correct |
3 ms |
256 KB |
Output is correct |
30 |
Correct |
3 ms |
384 KB |
Output is correct |
31 |
Correct |
6 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
256 KB |
Output is correct |
3 |
Correct |
2 ms |
432 KB |
Output is correct |
4 |
Correct |
3 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
540 KB |
Output is correct |
6 |
Correct |
3 ms |
384 KB |
Output is correct |
7 |
Correct |
2 ms |
384 KB |
Output is correct |
8 |
Correct |
2 ms |
384 KB |
Output is correct |
9 |
Correct |
2 ms |
256 KB |
Output is correct |
10 |
Correct |
2 ms |
384 KB |
Output is correct |
11 |
Correct |
2 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
256 KB |
Output is correct |
13 |
Correct |
2 ms |
384 KB |
Output is correct |
14 |
Correct |
3 ms |
384 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
2 ms |
256 KB |
Output is correct |
17 |
Correct |
2 ms |
384 KB |
Output is correct |
18 |
Correct |
2 ms |
384 KB |
Output is correct |
19 |
Correct |
3 ms |
304 KB |
Output is correct |
20 |
Correct |
4 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
7 ms |
256 KB |
Output is correct |
23 |
Correct |
3 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
256 KB |
Output is correct |
25 |
Correct |
2 ms |
384 KB |
Output is correct |
26 |
Correct |
3 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
6 ms |
384 KB |
Output is correct |
29 |
Correct |
3 ms |
256 KB |
Output is correct |
30 |
Correct |
3 ms |
384 KB |
Output is correct |
31 |
Correct |
6 ms |
384 KB |
Output is correct |
32 |
Correct |
24 ms |
384 KB |
Output is correct |
33 |
Correct |
7 ms |
256 KB |
Output is correct |
34 |
Correct |
480 ms |
384 KB |
Output is correct |
35 |
Correct |
25 ms |
376 KB |
Output is correct |
36 |
Correct |
45 ms |
256 KB |
Output is correct |
37 |
Correct |
201 ms |
468 KB |
Output is correct |
38 |
Correct |
742 ms |
256 KB |
Output is correct |
39 |
Correct |
22 ms |
384 KB |
Output is correct |
40 |
Correct |
852 ms |
360 KB |
Output is correct |
41 |
Correct |
791 ms |
256 KB |
Output is correct |
42 |
Correct |
805 ms |
504 KB |
Output is correct |
43 |
Correct |
540 ms |
476 KB |
Output is correct |
44 |
Correct |
49 ms |
476 KB |
Output is correct |
45 |
Correct |
842 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
256 KB |
Output is correct |
3 |
Correct |
2 ms |
432 KB |
Output is correct |
4 |
Correct |
3 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
540 KB |
Output is correct |
6 |
Correct |
3 ms |
384 KB |
Output is correct |
7 |
Correct |
2 ms |
384 KB |
Output is correct |
8 |
Correct |
2 ms |
384 KB |
Output is correct |
9 |
Correct |
2 ms |
256 KB |
Output is correct |
10 |
Correct |
2 ms |
384 KB |
Output is correct |
11 |
Correct |
2 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
256 KB |
Output is correct |
13 |
Correct |
2 ms |
384 KB |
Output is correct |
14 |
Correct |
3 ms |
384 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
2 ms |
256 KB |
Output is correct |
17 |
Correct |
2 ms |
384 KB |
Output is correct |
18 |
Correct |
2 ms |
384 KB |
Output is correct |
19 |
Correct |
3 ms |
304 KB |
Output is correct |
20 |
Correct |
4 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
7 ms |
256 KB |
Output is correct |
23 |
Correct |
3 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
256 KB |
Output is correct |
25 |
Correct |
2 ms |
384 KB |
Output is correct |
26 |
Correct |
3 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
6 ms |
384 KB |
Output is correct |
29 |
Correct |
3 ms |
256 KB |
Output is correct |
30 |
Correct |
3 ms |
384 KB |
Output is correct |
31 |
Correct |
6 ms |
384 KB |
Output is correct |
32 |
Correct |
24 ms |
384 KB |
Output is correct |
33 |
Correct |
7 ms |
256 KB |
Output is correct |
34 |
Correct |
480 ms |
384 KB |
Output is correct |
35 |
Correct |
25 ms |
376 KB |
Output is correct |
36 |
Correct |
45 ms |
256 KB |
Output is correct |
37 |
Correct |
201 ms |
468 KB |
Output is correct |
38 |
Correct |
742 ms |
256 KB |
Output is correct |
39 |
Correct |
22 ms |
384 KB |
Output is correct |
40 |
Correct |
852 ms |
360 KB |
Output is correct |
41 |
Correct |
791 ms |
256 KB |
Output is correct |
42 |
Correct |
805 ms |
504 KB |
Output is correct |
43 |
Correct |
540 ms |
476 KB |
Output is correct |
44 |
Correct |
49 ms |
476 KB |
Output is correct |
45 |
Correct |
842 ms |
376 KB |
Output is correct |
46 |
Correct |
2 ms |
384 KB |
Output is correct |
47 |
Correct |
3 ms |
384 KB |
Output is correct |
48 |
Correct |
2 ms |
384 KB |
Output is correct |
49 |
Incorrect |
3 ms |
384 KB |
Output isn't correct |
50 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
256 KB |
Output is correct |
3 |
Correct |
2 ms |
432 KB |
Output is correct |
4 |
Correct |
3 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
540 KB |
Output is correct |
6 |
Correct |
3 ms |
384 KB |
Output is correct |
7 |
Correct |
2 ms |
384 KB |
Output is correct |
8 |
Correct |
2 ms |
384 KB |
Output is correct |
9 |
Correct |
2 ms |
256 KB |
Output is correct |
10 |
Correct |
2 ms |
384 KB |
Output is correct |
11 |
Correct |
2 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
256 KB |
Output is correct |
13 |
Correct |
2 ms |
384 KB |
Output is correct |
14 |
Correct |
3 ms |
384 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
2 ms |
256 KB |
Output is correct |
17 |
Correct |
2 ms |
384 KB |
Output is correct |
18 |
Correct |
2 ms |
384 KB |
Output is correct |
19 |
Correct |
3 ms |
304 KB |
Output is correct |
20 |
Correct |
4 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
7 ms |
256 KB |
Output is correct |
23 |
Correct |
3 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
256 KB |
Output is correct |
25 |
Correct |
2 ms |
384 KB |
Output is correct |
26 |
Correct |
3 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
6 ms |
384 KB |
Output is correct |
29 |
Correct |
3 ms |
256 KB |
Output is correct |
30 |
Correct |
3 ms |
384 KB |
Output is correct |
31 |
Correct |
6 ms |
384 KB |
Output is correct |
32 |
Correct |
24 ms |
384 KB |
Output is correct |
33 |
Correct |
7 ms |
256 KB |
Output is correct |
34 |
Correct |
480 ms |
384 KB |
Output is correct |
35 |
Correct |
25 ms |
376 KB |
Output is correct |
36 |
Correct |
45 ms |
256 KB |
Output is correct |
37 |
Correct |
201 ms |
468 KB |
Output is correct |
38 |
Correct |
742 ms |
256 KB |
Output is correct |
39 |
Correct |
22 ms |
384 KB |
Output is correct |
40 |
Correct |
852 ms |
360 KB |
Output is correct |
41 |
Correct |
791 ms |
256 KB |
Output is correct |
42 |
Correct |
805 ms |
504 KB |
Output is correct |
43 |
Correct |
540 ms |
476 KB |
Output is correct |
44 |
Correct |
49 ms |
476 KB |
Output is correct |
45 |
Correct |
842 ms |
376 KB |
Output is correct |
46 |
Correct |
2 ms |
384 KB |
Output is correct |
47 |
Correct |
3 ms |
384 KB |
Output is correct |
48 |
Correct |
2 ms |
384 KB |
Output is correct |
49 |
Incorrect |
3 ms |
384 KB |
Output isn't correct |
50 |
Halted |
0 ms |
0 KB |
- |