#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
const LL MOD = 1000000007;
LL check(string s){
vector<int> psums(1,0);
for(int j = 0; j < s.size(); j++){
if(s[j] == '('){
psums.push_back(psums[psums.size() - 1] + 1);
} else {
psums.push_back(psums[psums.size() - 1] - 1);
}
}
int laste = psums.size() - 1;
while(laste > 0 && psums[laste-1] >= psums[psums.size()-1]){
laste--;
}
map<int,vector<int> > endlists;
for(int j = laste; j <= psums.size() - 1; j++){
endlists[psums[j]].push_back(j);
}
int a = psums[psums.size() - 1] / 2;
for(int j = 0; j < psums.size(); j++){
if(psums[j] < 0) break;
int need = psums[j] + a;
vector<int>& z = endlists[need];
int idx = lower_bound(z.begin(), z.end(), j) - z.begin();
if(idx >= z.size()) continue;
int e = z[idx];
// check if all elements in [j,e] are <=
int ok = 1;
for(int i = j; i <= e; i++){
if(psums[i] > 2 * psums[j]){
ok = 0;
break;
}
}
if(ok){
return 1;
}
}
return 0;
}
LL cnt(string s, int idx){
if(idx == s.size()) return check(s);
if(s[idx] != 'x'){
return cnt(s, idx + 1);
}
string s1 = s;
string s2 = s;
s1[idx] = '(';
s2[idx] = ')';
return (cnt(s1, idx + 1) + cnt(s2, idx + 1)) % MOD;
}
int main(){
int n;
string s;
cin >> n >> s;
if(n % 2 == 1){
cout << 0 << '\n';
return 0;
}
cout << cnt(s, 0) << '\n';
}
Compilation message
securitygate.cpp: In function 'LL check(std::__cxx11::string)':
securitygate.cpp:9:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j = 0; j < s.size(); j++){
~~^~~~~~~~~~
securitygate.cpp:21:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j = laste; j <= psums.size() - 1; j++){
~~^~~~~~~~~~~~~~~~~~~
securitygate.cpp:25:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j = 0; j < psums.size(); j++){
~~^~~~~~~~~~~~~~
securitygate.cpp:30:10: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if(idx >= z.size()) continue;
~~~~^~~~~~~~~~~
securitygate.cpp: In function 'LL cnt(std::__cxx11::string, int)':
securitygate.cpp:48:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if(idx == s.size()) return check(s);
~~~~^~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
376 KB |
Output is correct |
| 3 |
Correct |
3 ms |
436 KB |
Output is correct |
| 4 |
Correct |
2 ms |
436 KB |
Output is correct |
| 5 |
Correct |
2 ms |
436 KB |
Output is correct |
| 6 |
Correct |
2 ms |
484 KB |
Output is correct |
| 7 |
Correct |
3 ms |
484 KB |
Output is correct |
| 8 |
Correct |
2 ms |
524 KB |
Output is correct |
| 9 |
Correct |
3 ms |
528 KB |
Output is correct |
| 10 |
Correct |
2 ms |
588 KB |
Output is correct |
| 11 |
Correct |
2 ms |
612 KB |
Output is correct |
| 12 |
Correct |
2 ms |
704 KB |
Output is correct |
| 13 |
Correct |
2 ms |
708 KB |
Output is correct |
| 14 |
Correct |
3 ms |
768 KB |
Output is correct |
| 15 |
Correct |
2 ms |
772 KB |
Output is correct |
| 16 |
Correct |
3 ms |
792 KB |
Output is correct |
| 17 |
Correct |
3 ms |
792 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
376 KB |
Output is correct |
| 3 |
Correct |
3 ms |
436 KB |
Output is correct |
| 4 |
Correct |
2 ms |
436 KB |
Output is correct |
| 5 |
Correct |
2 ms |
436 KB |
Output is correct |
| 6 |
Correct |
2 ms |
484 KB |
Output is correct |
| 7 |
Correct |
3 ms |
484 KB |
Output is correct |
| 8 |
Correct |
2 ms |
524 KB |
Output is correct |
| 9 |
Correct |
3 ms |
528 KB |
Output is correct |
| 10 |
Correct |
2 ms |
588 KB |
Output is correct |
| 11 |
Correct |
2 ms |
612 KB |
Output is correct |
| 12 |
Correct |
2 ms |
704 KB |
Output is correct |
| 13 |
Correct |
2 ms |
708 KB |
Output is correct |
| 14 |
Correct |
3 ms |
768 KB |
Output is correct |
| 15 |
Correct |
2 ms |
772 KB |
Output is correct |
| 16 |
Correct |
3 ms |
792 KB |
Output is correct |
| 17 |
Correct |
3 ms |
792 KB |
Output is correct |
| 18 |
Correct |
3 ms |
792 KB |
Output is correct |
| 19 |
Correct |
3 ms |
792 KB |
Output is correct |
| 20 |
Correct |
7 ms |
792 KB |
Output is correct |
| 21 |
Correct |
18 ms |
812 KB |
Output is correct |
| 22 |
Correct |
12 ms |
820 KB |
Output is correct |
| 23 |
Correct |
5 ms |
820 KB |
Output is correct |
| 24 |
Correct |
12 ms |
952 KB |
Output is correct |
| 25 |
Correct |
3 ms |
952 KB |
Output is correct |
| 26 |
Correct |
6 ms |
952 KB |
Output is correct |
| 27 |
Correct |
16 ms |
952 KB |
Output is correct |
| 28 |
Correct |
10 ms |
952 KB |
Output is correct |
| 29 |
Correct |
8 ms |
952 KB |
Output is correct |
| 30 |
Correct |
4 ms |
952 KB |
Output is correct |
| 31 |
Correct |
27 ms |
952 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
376 KB |
Output is correct |
| 3 |
Correct |
3 ms |
436 KB |
Output is correct |
| 4 |
Correct |
2 ms |
436 KB |
Output is correct |
| 5 |
Correct |
2 ms |
436 KB |
Output is correct |
| 6 |
Correct |
2 ms |
484 KB |
Output is correct |
| 7 |
Correct |
3 ms |
484 KB |
Output is correct |
| 8 |
Correct |
2 ms |
524 KB |
Output is correct |
| 9 |
Correct |
3 ms |
528 KB |
Output is correct |
| 10 |
Correct |
2 ms |
588 KB |
Output is correct |
| 11 |
Correct |
2 ms |
612 KB |
Output is correct |
| 12 |
Correct |
2 ms |
704 KB |
Output is correct |
| 13 |
Correct |
2 ms |
708 KB |
Output is correct |
| 14 |
Correct |
3 ms |
768 KB |
Output is correct |
| 15 |
Correct |
2 ms |
772 KB |
Output is correct |
| 16 |
Correct |
3 ms |
792 KB |
Output is correct |
| 17 |
Correct |
3 ms |
792 KB |
Output is correct |
| 18 |
Correct |
3 ms |
792 KB |
Output is correct |
| 19 |
Correct |
3 ms |
792 KB |
Output is correct |
| 20 |
Correct |
7 ms |
792 KB |
Output is correct |
| 21 |
Correct |
18 ms |
812 KB |
Output is correct |
| 22 |
Correct |
12 ms |
820 KB |
Output is correct |
| 23 |
Correct |
5 ms |
820 KB |
Output is correct |
| 24 |
Correct |
12 ms |
952 KB |
Output is correct |
| 25 |
Correct |
3 ms |
952 KB |
Output is correct |
| 26 |
Correct |
6 ms |
952 KB |
Output is correct |
| 27 |
Correct |
16 ms |
952 KB |
Output is correct |
| 28 |
Correct |
10 ms |
952 KB |
Output is correct |
| 29 |
Correct |
8 ms |
952 KB |
Output is correct |
| 30 |
Correct |
4 ms |
952 KB |
Output is correct |
| 31 |
Correct |
27 ms |
952 KB |
Output is correct |
| 32 |
Correct |
103 ms |
952 KB |
Output is correct |
| 33 |
Correct |
37 ms |
952 KB |
Output is correct |
| 34 |
Correct |
2679 ms |
952 KB |
Output is correct |
| 35 |
Correct |
112 ms |
952 KB |
Output is correct |
| 36 |
Correct |
216 ms |
952 KB |
Output is correct |
| 37 |
Correct |
1168 ms |
1008 KB |
Output is correct |
| 38 |
Correct |
3455 ms |
1008 KB |
Output is correct |
| 39 |
Correct |
109 ms |
1008 KB |
Output is correct |
| 40 |
Execution timed out |
5009 ms |
1008 KB |
Time limit exceeded |
| 41 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
376 KB |
Output is correct |
| 3 |
Correct |
3 ms |
436 KB |
Output is correct |
| 4 |
Correct |
2 ms |
436 KB |
Output is correct |
| 5 |
Correct |
2 ms |
436 KB |
Output is correct |
| 6 |
Correct |
2 ms |
484 KB |
Output is correct |
| 7 |
Correct |
3 ms |
484 KB |
Output is correct |
| 8 |
Correct |
2 ms |
524 KB |
Output is correct |
| 9 |
Correct |
3 ms |
528 KB |
Output is correct |
| 10 |
Correct |
2 ms |
588 KB |
Output is correct |
| 11 |
Correct |
2 ms |
612 KB |
Output is correct |
| 12 |
Correct |
2 ms |
704 KB |
Output is correct |
| 13 |
Correct |
2 ms |
708 KB |
Output is correct |
| 14 |
Correct |
3 ms |
768 KB |
Output is correct |
| 15 |
Correct |
2 ms |
772 KB |
Output is correct |
| 16 |
Correct |
3 ms |
792 KB |
Output is correct |
| 17 |
Correct |
3 ms |
792 KB |
Output is correct |
| 18 |
Correct |
3 ms |
792 KB |
Output is correct |
| 19 |
Correct |
3 ms |
792 KB |
Output is correct |
| 20 |
Correct |
7 ms |
792 KB |
Output is correct |
| 21 |
Correct |
18 ms |
812 KB |
Output is correct |
| 22 |
Correct |
12 ms |
820 KB |
Output is correct |
| 23 |
Correct |
5 ms |
820 KB |
Output is correct |
| 24 |
Correct |
12 ms |
952 KB |
Output is correct |
| 25 |
Correct |
3 ms |
952 KB |
Output is correct |
| 26 |
Correct |
6 ms |
952 KB |
Output is correct |
| 27 |
Correct |
16 ms |
952 KB |
Output is correct |
| 28 |
Correct |
10 ms |
952 KB |
Output is correct |
| 29 |
Correct |
8 ms |
952 KB |
Output is correct |
| 30 |
Correct |
4 ms |
952 KB |
Output is correct |
| 31 |
Correct |
27 ms |
952 KB |
Output is correct |
| 32 |
Correct |
103 ms |
952 KB |
Output is correct |
| 33 |
Correct |
37 ms |
952 KB |
Output is correct |
| 34 |
Correct |
2679 ms |
952 KB |
Output is correct |
| 35 |
Correct |
112 ms |
952 KB |
Output is correct |
| 36 |
Correct |
216 ms |
952 KB |
Output is correct |
| 37 |
Correct |
1168 ms |
1008 KB |
Output is correct |
| 38 |
Correct |
3455 ms |
1008 KB |
Output is correct |
| 39 |
Correct |
109 ms |
1008 KB |
Output is correct |
| 40 |
Execution timed out |
5009 ms |
1008 KB |
Time limit exceeded |
| 41 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
376 KB |
Output is correct |
| 3 |
Correct |
3 ms |
436 KB |
Output is correct |
| 4 |
Correct |
2 ms |
436 KB |
Output is correct |
| 5 |
Correct |
2 ms |
436 KB |
Output is correct |
| 6 |
Correct |
2 ms |
484 KB |
Output is correct |
| 7 |
Correct |
3 ms |
484 KB |
Output is correct |
| 8 |
Correct |
2 ms |
524 KB |
Output is correct |
| 9 |
Correct |
3 ms |
528 KB |
Output is correct |
| 10 |
Correct |
2 ms |
588 KB |
Output is correct |
| 11 |
Correct |
2 ms |
612 KB |
Output is correct |
| 12 |
Correct |
2 ms |
704 KB |
Output is correct |
| 13 |
Correct |
2 ms |
708 KB |
Output is correct |
| 14 |
Correct |
3 ms |
768 KB |
Output is correct |
| 15 |
Correct |
2 ms |
772 KB |
Output is correct |
| 16 |
Correct |
3 ms |
792 KB |
Output is correct |
| 17 |
Correct |
3 ms |
792 KB |
Output is correct |
| 18 |
Correct |
3 ms |
792 KB |
Output is correct |
| 19 |
Correct |
3 ms |
792 KB |
Output is correct |
| 20 |
Correct |
7 ms |
792 KB |
Output is correct |
| 21 |
Correct |
18 ms |
812 KB |
Output is correct |
| 22 |
Correct |
12 ms |
820 KB |
Output is correct |
| 23 |
Correct |
5 ms |
820 KB |
Output is correct |
| 24 |
Correct |
12 ms |
952 KB |
Output is correct |
| 25 |
Correct |
3 ms |
952 KB |
Output is correct |
| 26 |
Correct |
6 ms |
952 KB |
Output is correct |
| 27 |
Correct |
16 ms |
952 KB |
Output is correct |
| 28 |
Correct |
10 ms |
952 KB |
Output is correct |
| 29 |
Correct |
8 ms |
952 KB |
Output is correct |
| 30 |
Correct |
4 ms |
952 KB |
Output is correct |
| 31 |
Correct |
27 ms |
952 KB |
Output is correct |
| 32 |
Correct |
103 ms |
952 KB |
Output is correct |
| 33 |
Correct |
37 ms |
952 KB |
Output is correct |
| 34 |
Correct |
2679 ms |
952 KB |
Output is correct |
| 35 |
Correct |
112 ms |
952 KB |
Output is correct |
| 36 |
Correct |
216 ms |
952 KB |
Output is correct |
| 37 |
Correct |
1168 ms |
1008 KB |
Output is correct |
| 38 |
Correct |
3455 ms |
1008 KB |
Output is correct |
| 39 |
Correct |
109 ms |
1008 KB |
Output is correct |
| 40 |
Execution timed out |
5009 ms |
1008 KB |
Time limit exceeded |
| 41 |
Halted |
0 ms |
0 KB |
- |
