#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
int n,ans;
string s;
/*void search(int ind, int mn, int mx, int mndif, int mxdif, int cur) {
mn = min(mn,cur), mx = max(mx,cur);
mxdif = max(mxdif,cur-mn);
mndif = min(mndif,cur-mx);
if (ind == sz(s)) {
if (cur-2*mxdif <= 0 && cur-2*mndif >= 0) ans ++;
return;
}
if (s[ind] != '(') search(ind+1,mn,mx,mndif,mxdif,cur+1);
if (s[ind] != ')') search(ind+1,mn,mx,mndif,mxdif,cur+1);
}*/
bool ok(string s) {
F0R(i,sz(s)+1) FOR(j,i,sz(s)+1) {
int sum = 0;
F0R(k,sz(s)) {
if (k < i || k >= j) sum += 2*(s[k] == '(')-1;
else sum += 2*(s[k] != '(')-1;
if (sum < 0) break;
}
if (sum == 0) return 1;
}
return 0;
}
void search(int ind) {
if (ind == sz(s)) {
if (ok(s)) ans ++;
return;
}
if (s[ind] == 'x') {
s[ind] = '(';
search(ind+1);
s[ind] = ')';
search(ind+1);
s[ind] = 'x';
} else search(ind+1);
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> s;
if (n % 2 == 1) {
cout << 0;
exit(0);
}
// search(0,0,0,0,0,0);
search(0);
cout << ans;
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
404 KB |
Output is correct |
3 |
Correct |
2 ms |
460 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
3 ms |
664 KB |
Output is correct |
7 |
Correct |
2 ms |
664 KB |
Output is correct |
8 |
Correct |
4 ms |
752 KB |
Output is correct |
9 |
Correct |
3 ms |
752 KB |
Output is correct |
10 |
Correct |
3 ms |
752 KB |
Output is correct |
11 |
Correct |
2 ms |
752 KB |
Output is correct |
12 |
Correct |
3 ms |
752 KB |
Output is correct |
13 |
Correct |
6 ms |
752 KB |
Output is correct |
14 |
Correct |
3 ms |
756 KB |
Output is correct |
15 |
Correct |
4 ms |
760 KB |
Output is correct |
16 |
Correct |
2 ms |
764 KB |
Output is correct |
17 |
Correct |
4 ms |
768 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
404 KB |
Output is correct |
3 |
Correct |
2 ms |
460 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
3 ms |
664 KB |
Output is correct |
7 |
Correct |
2 ms |
664 KB |
Output is correct |
8 |
Correct |
4 ms |
752 KB |
Output is correct |
9 |
Correct |
3 ms |
752 KB |
Output is correct |
10 |
Correct |
3 ms |
752 KB |
Output is correct |
11 |
Correct |
2 ms |
752 KB |
Output is correct |
12 |
Correct |
3 ms |
752 KB |
Output is correct |
13 |
Correct |
6 ms |
752 KB |
Output is correct |
14 |
Correct |
3 ms |
756 KB |
Output is correct |
15 |
Correct |
4 ms |
760 KB |
Output is correct |
16 |
Correct |
2 ms |
764 KB |
Output is correct |
17 |
Correct |
4 ms |
768 KB |
Output is correct |
18 |
Correct |
4 ms |
772 KB |
Output is correct |
19 |
Correct |
14 ms |
776 KB |
Output is correct |
20 |
Correct |
13 ms |
780 KB |
Output is correct |
21 |
Correct |
650 ms |
792 KB |
Output is correct |
22 |
Correct |
903 ms |
916 KB |
Output is correct |
23 |
Correct |
9 ms |
916 KB |
Output is correct |
24 |
Correct |
562 ms |
980 KB |
Output is correct |
25 |
Correct |
3 ms |
980 KB |
Output is correct |
26 |
Correct |
11 ms |
980 KB |
Output is correct |
27 |
Correct |
552 ms |
992 KB |
Output is correct |
28 |
Correct |
32 ms |
992 KB |
Output is correct |
29 |
Correct |
6 ms |
992 KB |
Output is correct |
30 |
Correct |
20 ms |
992 KB |
Output is correct |
31 |
Correct |
88 ms |
992 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
404 KB |
Output is correct |
3 |
Correct |
2 ms |
460 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
3 ms |
664 KB |
Output is correct |
7 |
Correct |
2 ms |
664 KB |
Output is correct |
8 |
Correct |
4 ms |
752 KB |
Output is correct |
9 |
Correct |
3 ms |
752 KB |
Output is correct |
10 |
Correct |
3 ms |
752 KB |
Output is correct |
11 |
Correct |
2 ms |
752 KB |
Output is correct |
12 |
Correct |
3 ms |
752 KB |
Output is correct |
13 |
Correct |
6 ms |
752 KB |
Output is correct |
14 |
Correct |
3 ms |
756 KB |
Output is correct |
15 |
Correct |
4 ms |
760 KB |
Output is correct |
16 |
Correct |
2 ms |
764 KB |
Output is correct |
17 |
Correct |
4 ms |
768 KB |
Output is correct |
18 |
Correct |
4 ms |
772 KB |
Output is correct |
19 |
Correct |
14 ms |
776 KB |
Output is correct |
20 |
Correct |
13 ms |
780 KB |
Output is correct |
21 |
Correct |
650 ms |
792 KB |
Output is correct |
22 |
Correct |
903 ms |
916 KB |
Output is correct |
23 |
Correct |
9 ms |
916 KB |
Output is correct |
24 |
Correct |
562 ms |
980 KB |
Output is correct |
25 |
Correct |
3 ms |
980 KB |
Output is correct |
26 |
Correct |
11 ms |
980 KB |
Output is correct |
27 |
Correct |
552 ms |
992 KB |
Output is correct |
28 |
Correct |
32 ms |
992 KB |
Output is correct |
29 |
Correct |
6 ms |
992 KB |
Output is correct |
30 |
Correct |
20 ms |
992 KB |
Output is correct |
31 |
Correct |
88 ms |
992 KB |
Output is correct |
32 |
Correct |
119 ms |
1012 KB |
Output is correct |
33 |
Correct |
41 ms |
1012 KB |
Output is correct |
34 |
Correct |
3332 ms |
1012 KB |
Output is correct |
35 |
Correct |
68 ms |
1012 KB |
Output is correct |
36 |
Correct |
1225 ms |
1012 KB |
Output is correct |
37 |
Execution timed out |
5074 ms |
1012 KB |
Time limit exceeded |
38 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
404 KB |
Output is correct |
3 |
Correct |
2 ms |
460 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
3 ms |
664 KB |
Output is correct |
7 |
Correct |
2 ms |
664 KB |
Output is correct |
8 |
Correct |
4 ms |
752 KB |
Output is correct |
9 |
Correct |
3 ms |
752 KB |
Output is correct |
10 |
Correct |
3 ms |
752 KB |
Output is correct |
11 |
Correct |
2 ms |
752 KB |
Output is correct |
12 |
Correct |
3 ms |
752 KB |
Output is correct |
13 |
Correct |
6 ms |
752 KB |
Output is correct |
14 |
Correct |
3 ms |
756 KB |
Output is correct |
15 |
Correct |
4 ms |
760 KB |
Output is correct |
16 |
Correct |
2 ms |
764 KB |
Output is correct |
17 |
Correct |
4 ms |
768 KB |
Output is correct |
18 |
Correct |
4 ms |
772 KB |
Output is correct |
19 |
Correct |
14 ms |
776 KB |
Output is correct |
20 |
Correct |
13 ms |
780 KB |
Output is correct |
21 |
Correct |
650 ms |
792 KB |
Output is correct |
22 |
Correct |
903 ms |
916 KB |
Output is correct |
23 |
Correct |
9 ms |
916 KB |
Output is correct |
24 |
Correct |
562 ms |
980 KB |
Output is correct |
25 |
Correct |
3 ms |
980 KB |
Output is correct |
26 |
Correct |
11 ms |
980 KB |
Output is correct |
27 |
Correct |
552 ms |
992 KB |
Output is correct |
28 |
Correct |
32 ms |
992 KB |
Output is correct |
29 |
Correct |
6 ms |
992 KB |
Output is correct |
30 |
Correct |
20 ms |
992 KB |
Output is correct |
31 |
Correct |
88 ms |
992 KB |
Output is correct |
32 |
Correct |
119 ms |
1012 KB |
Output is correct |
33 |
Correct |
41 ms |
1012 KB |
Output is correct |
34 |
Correct |
3332 ms |
1012 KB |
Output is correct |
35 |
Correct |
68 ms |
1012 KB |
Output is correct |
36 |
Correct |
1225 ms |
1012 KB |
Output is correct |
37 |
Execution timed out |
5074 ms |
1012 KB |
Time limit exceeded |
38 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
404 KB |
Output is correct |
3 |
Correct |
2 ms |
460 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
3 ms |
664 KB |
Output is correct |
7 |
Correct |
2 ms |
664 KB |
Output is correct |
8 |
Correct |
4 ms |
752 KB |
Output is correct |
9 |
Correct |
3 ms |
752 KB |
Output is correct |
10 |
Correct |
3 ms |
752 KB |
Output is correct |
11 |
Correct |
2 ms |
752 KB |
Output is correct |
12 |
Correct |
3 ms |
752 KB |
Output is correct |
13 |
Correct |
6 ms |
752 KB |
Output is correct |
14 |
Correct |
3 ms |
756 KB |
Output is correct |
15 |
Correct |
4 ms |
760 KB |
Output is correct |
16 |
Correct |
2 ms |
764 KB |
Output is correct |
17 |
Correct |
4 ms |
768 KB |
Output is correct |
18 |
Correct |
4 ms |
772 KB |
Output is correct |
19 |
Correct |
14 ms |
776 KB |
Output is correct |
20 |
Correct |
13 ms |
780 KB |
Output is correct |
21 |
Correct |
650 ms |
792 KB |
Output is correct |
22 |
Correct |
903 ms |
916 KB |
Output is correct |
23 |
Correct |
9 ms |
916 KB |
Output is correct |
24 |
Correct |
562 ms |
980 KB |
Output is correct |
25 |
Correct |
3 ms |
980 KB |
Output is correct |
26 |
Correct |
11 ms |
980 KB |
Output is correct |
27 |
Correct |
552 ms |
992 KB |
Output is correct |
28 |
Correct |
32 ms |
992 KB |
Output is correct |
29 |
Correct |
6 ms |
992 KB |
Output is correct |
30 |
Correct |
20 ms |
992 KB |
Output is correct |
31 |
Correct |
88 ms |
992 KB |
Output is correct |
32 |
Correct |
119 ms |
1012 KB |
Output is correct |
33 |
Correct |
41 ms |
1012 KB |
Output is correct |
34 |
Correct |
3332 ms |
1012 KB |
Output is correct |
35 |
Correct |
68 ms |
1012 KB |
Output is correct |
36 |
Correct |
1225 ms |
1012 KB |
Output is correct |
37 |
Execution timed out |
5074 ms |
1012 KB |
Time limit exceeded |
38 |
Halted |
0 ms |
0 KB |
- |