This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h>
using namespace std;
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
#define REP(i, s, e) for (int i = s; i < e; i++)
#define RREP(i, s, e) for (int i = s; i >= e; i--)
typedef long long ll;
typedef long double ld;
#define MP make_pair
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
#define MT make_tuple
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
#ifndef DEBUG
#define cerr if (0) cerr
#endif
#define INF 1000000005
#define LINF 1000000000000000005ll
#define MAXN 305
#define MOD 1000000007
int n;
string s;
int ans;
int main() {
#ifndef DEBUG
ios::sync_with_stdio(0), cin.tie(0);
#endif
cin >> n;
cin >> s;
int x = 0;
REP (i, 0, n) {
if (s[i] == 'x') x++;
}
REP (m, 0, 1 << x) {
int j = 0;
vi v(n, 0);
int sm = 0;
REP (i, 0, n) {
char c = s[i];
if (c == 'x') {
c = (m >> j & 1) ? '(' : ')';
j++;
}
v[i] = c == '(' ? 1 : -1;
sm += v[i];
}
if (sm % 2 == 1) continue;
bool pos = 0;
REP (i, 0, n) {
REP (j, i - 1, n) {
int sm = 0;
REP (k, 0, n) {
int x = v[k];
if (k >= i && k <= j) {
x *= -1;
}
sm += x;
if (sm < 0) {
break;
}
}
if (sm == 0) {
pos = 1;
break;
}
}
if (pos) {
break;
}
}
if (pos) {
ans++;
}
}
cout << ans << '\n';
return 0;
}
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