#include <iostream>
#include <string>
using namespace std;
string s;
int D[55000],D2[55000],ans;
int main() {
cin >> s;
for(int x=1; x<s.length(); x++) {
D[x] = D[x-1];
if(s[x] == s[x-1] && s[x] == '(') {
D[x]++;
}
}
for(int x=s.length()-2; x>-1; x--) {
if(s[x+1] == s[x] && s[x] ==')') {
ans += D[x-1];
}
}
cout<<ans;
}