#include <bits/stdc++.h>
using namespace std;
#define FOR(i, j, k, l) for(int i = (j); i < (k); i += (l))
#define FORD(i, j, k, l) for(int i = (j); i >= (k); i-=(l))
#define REP(i, n) FOR(i, 0, n, 1)
#define REPD(i, n) FORD(i, n, 0, 1)
typedef long long ll;
const int mod = (int)1e9 + 7;
int main(){
int n; cin >> n;
string s; cin >> s;
int m = 0;
REP(i, s.length()){
if(s[i] == 'x')
m++;
}
int ans = 0;
string ns;
vector<int> min_suf(n + 1);
vector<int> bal_suf(n + 1);
auto check = [&](string s){
int bal = 0;
min_suf[n] = bal_suf[n] = 0;
REPD(i, n - 1){
if(s[i] == '(')
bal++;
else
bal--;
bal_suf[i] = bal;
int up = (i == n - 1 ? 0 : min_suf[i + 1]);
min_suf[i] = (s[i] == '(' ? 1 + up : up - 1);
min_suf[i] = min(min_suf[i], 0);
}
bal = 0;
if(min_suf[0] >= 0 && bal_suf[0] == 0)
return true;
int mini = 0;
REP(i, n){
int nbal = bal;
int nmini = mini;
FOR(j, i, n, 1){
nbal += (s[j] == '(' ? -1 : 1);
nmini = min(nmini, nbal);
if(nmini < 0) break;
if(nbal + bal_suf[j + 1] == 0 && min_suf[j + 1] + nbal >= 0)
return true;
}
bal += (s[i] == '(' ? 1 : -1);
mini = min(mini, bal);
if(mini < 0)
return false;
}
return false;
};
REP(mask, (1 << m)){
ns = s;
int curr = 0;
REP(j, n){
if(ns[j] == 'x'){
if(mask & (1 << curr))
ns[j] = '(';
else
ns[j] = ')';
curr++;
}
}
if(check(ns)){
ans++;
}
}
cout << ans << "\n";
}
Compilation message
securitygate.cpp: In function 'int main()':
securitygate.cpp:3:44: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
3 | #define FOR(i, j, k, l) for(int i = (j); i < (k); i += (l))
| ^
securitygate.cpp:5:19: note: in expansion of macro 'FOR'
5 | #define REP(i, n) FOR(i, 0, n, 1)
| ^~~
securitygate.cpp:14:5: note: in expansion of macro 'REP'
14 | REP(i, s.length()){
| ^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
296 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
296 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
288 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
292 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
296 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
296 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
288 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
292 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
292 KB |
Output is correct |
20 |
Correct |
2 ms |
204 KB |
Output is correct |
21 |
Correct |
6 ms |
204 KB |
Output is correct |
22 |
Correct |
9 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
7 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
7 ms |
204 KB |
Output is correct |
28 |
Correct |
2 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
4 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
296 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
296 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
288 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
292 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
292 KB |
Output is correct |
20 |
Correct |
2 ms |
204 KB |
Output is correct |
21 |
Correct |
6 ms |
204 KB |
Output is correct |
22 |
Correct |
9 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
7 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
7 ms |
204 KB |
Output is correct |
28 |
Correct |
2 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
4 ms |
204 KB |
Output is correct |
32 |
Correct |
18 ms |
204 KB |
Output is correct |
33 |
Correct |
5 ms |
204 KB |
Output is correct |
34 |
Correct |
338 ms |
272 KB |
Output is correct |
35 |
Correct |
16 ms |
204 KB |
Output is correct |
36 |
Correct |
42 ms |
272 KB |
Output is correct |
37 |
Correct |
203 ms |
284 KB |
Output is correct |
38 |
Execution timed out |
5041 ms |
204 KB |
Time limit exceeded |
39 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
296 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
296 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
288 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
292 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
292 KB |
Output is correct |
20 |
Correct |
2 ms |
204 KB |
Output is correct |
21 |
Correct |
6 ms |
204 KB |
Output is correct |
22 |
Correct |
9 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
7 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
7 ms |
204 KB |
Output is correct |
28 |
Correct |
2 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
4 ms |
204 KB |
Output is correct |
32 |
Correct |
18 ms |
204 KB |
Output is correct |
33 |
Correct |
5 ms |
204 KB |
Output is correct |
34 |
Correct |
338 ms |
272 KB |
Output is correct |
35 |
Correct |
16 ms |
204 KB |
Output is correct |
36 |
Correct |
42 ms |
272 KB |
Output is correct |
37 |
Correct |
203 ms |
284 KB |
Output is correct |
38 |
Execution timed out |
5041 ms |
204 KB |
Time limit exceeded |
39 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
296 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
296 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
288 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
292 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
292 KB |
Output is correct |
20 |
Correct |
2 ms |
204 KB |
Output is correct |
21 |
Correct |
6 ms |
204 KB |
Output is correct |
22 |
Correct |
9 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
7 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
7 ms |
204 KB |
Output is correct |
28 |
Correct |
2 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
4 ms |
204 KB |
Output is correct |
32 |
Correct |
18 ms |
204 KB |
Output is correct |
33 |
Correct |
5 ms |
204 KB |
Output is correct |
34 |
Correct |
338 ms |
272 KB |
Output is correct |
35 |
Correct |
16 ms |
204 KB |
Output is correct |
36 |
Correct |
42 ms |
272 KB |
Output is correct |
37 |
Correct |
203 ms |
284 KB |
Output is correct |
38 |
Execution timed out |
5041 ms |
204 KB |
Time limit exceeded |
39 |
Halted |
0 ms |
0 KB |
- |