#include <bits/stdc++.h>
using namespace std;
const int N = 5001;
bool dp1[N][N], dp2[N][N];
int main() {
  {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
  }
  string s;
  memset(dp1, false, sizeof dp1);
  memset(dp2, false, sizeof dp2);
  cin >> s;
  long long n = s.length();
  for (long long i = 0; i < n; i++) {
    long long curr = 0;
    for (long long j = i; j < n; j++) {
      if (s[j] == ')')
        curr--;
      else
        curr++;
      if (curr >= 0)
        dp1[i][j] = true;
      else
        break;
    }
  }
  for (long long i = n - 1; i >= 0; i--) {
    long long curr = 0;
    for (long long j = i; j >= 0; j--) {
      if (s[j] == '(')
        curr--;
      else
        curr++;
      if (curr >= 0)
        dp2[j][i] = true;
      else
        break;
    }
  }
  long long ans = 0;
  for (long long i = 0; i < n; i++) {
    for (long long j = i; j < n; j++) {
      if (dp1[i][j] && dp2[i][j] && (j - i + 1) % 2 == 0) ans++;
    }
  }
  cout << ans << "\n";
}
