#include <bits/stdc++.h>
using namespace std;
template <typename TH>
void _dbg(const char* sdbg, TH h) {
  cerr << sdbg << "=" << h << "\n";
}
template <typename TH, typename... TA>
void _dbg(const char* sdbg, TH h, TA... t) {
  while (*sdbg != ',') cerr << *sdbg++;
  cerr << "=" << h << ",";
  _dbg(sdbg + 1, t...);
}
template <class C>
void mini(C& a4, C b4) {
  a4 = min(a4, b4);
}
template <class C>
void maxi(C& a4, C b4) {
  a4 = max(a4, b4);
}
template <class T1, class T2>
ostream& operator<<(ostream& out, pair<T1, T2> pair) {
  return out << "(" << pair.first << ", " << pair.second << ")";
}
template <class A, class B, class C>
struct Triple {
  A first;
  B second;
  C third;
  bool operator<(const Triple& t) const {
    if (first != t.first) return first < t.first;
    if (second != t.second) return second < t.second;
    return third < t.third;
  }
};
template <class T>
void ResizeVec(T&, vector<long long>) {}
template <class T>
void ResizeVec(vector<T>& vec, vector<long long> sz) {
  vec.resize(sz[0]);
  sz.erase(sz.begin());
  if (sz.empty()) {
    return;
  }
  for (T& v : vec) {
    ResizeVec(v, sz);
  }
}
template <class A, class B, class C>
ostream& operator<<(ostream& out, Triple<A, B, C> t) {
  return out << "(" << t.first << ", " << t.second << ", " << t.third << ")";
}
template <class T>
ostream& operator<<(ostream& out, vector<T> vec) {
  out << "(";
  for (auto& v : vec) out << v << ", ";
  return out << ")";
}
template <class T>
ostream& operator<<(ostream& out, set<T> vec) {
  out << "(";
  for (auto& v : vec) out << v << ", ";
  return out << ")";
}
const long long N = 5e3 + 5;
bool fine[N][N];
int32_t main() {
  ios_base::sync_with_stdio(0);
  cout << fixed << setprecision(10);
  if (0) cout << fixed << setprecision(10);
  cin.tie(0);
  string s;
  cin >> s;
  long long n = ((long long)(s).size());
  for (long long i = (1); i <= (n); ++i) {
    for (long long j = (1); j <= (n); ++j) {
      fine[i][j] = 1;
    }
  }
  s = ' ' + s;
  for (long long beg = (1); beg <= (n); ++beg) {
    long long bil = 0;
    long long good = 1;
    for (long long i = (beg); i <= (n); ++i) {
      if (s[i] == ')') {
        bil--;
      } else {
        bil++;
      }
      if (bil < 0) {
        good = 0;
      }
      fine[beg][i] &= good;
    }
  }
  for (long long en = (1); en <= (n); ++en) {
    long long bil = 0;
    long long good = 1;
    for (long long i = (en); i >= (1); --i) {
      if (s[i] == '(') {
        bil--;
      } else {
        bil++;
      }
      if (bil < 0) {
        good = 0;
      }
      fine[i][en] &= good;
    }
  }
  long long res = 0;
  for (long long j = (1); j <= (n); ++j) {
    for (long long i = (1); i <= (j); ++i) {
      if (i % 2 != j % 2 && fine[i][j]) {
        res++;
      }
    }
  }
  cout << res << endl;
  return 0;
}
