This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#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
*/
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