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>
#define endl '\n'
using namespace std;
typedef long long ll;
void speed()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
}
const ll mod = 1000000007;
int n;
string s;
void solve()
{
cin >> n >> s;
s = "#" + s;
int cnt = 0;
for (int i = 1; i <= n; i ++)
{
if (s[i] == 'x')
cnt ++;
}
int res = 0;
for (int mask = 0; mask < (1 << cnt); mask ++)
{
int bit = 0;
string t = s;
for (int i = 1; i <= n; i ++)
{
if (t[i] == 'x')
{
//cout << "here " << mask << " " << bit << " " << (mask & (1 << bit)) << endl;
if ((mask & (1 << bit)) > 0)
t[i] = '(';
else
t[i] = ')';
bit ++;
}
}
bool done = false;
for (int i = 1; i <= n; i ++)
for (int j = i; j <= n; j ++)
{
int pf = 0;
bool tf = true;
for (int d = 1; d <= n; d ++)
{
int c = -1;
if (t[d] == '(')
c = 1;
if (d >= i && d <= j)
c *= -1;
pf += c;
if (pf < 0)
{
tf = false;
break;
}
}
if (pf != 0)
tf = false;
if (tf)
{
///cout << i << " : " << j << endl;
done = true;
break;
}
}
int pf = 0;
bool tf = true;
for (int d = 1; d <= n; d ++)
{
int c = -1;
if (t[d] == '(')
c = 1;
pf += c;
if (pf < 0)
{
tf = false;
break;
}
}
if (pf != 0)
tf = false;
if (tf)
{
///cout << i << " : " << j << endl;
done = true;
}
if (done)
res ++;
///cout << t << " " << done << endl;
}
cout << res << endl;
}
int main()
{
speed();
solve();
return 0;
}
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