#include <iostream>
#include <string>

using namespace std;

int counter[1024 * 1024];
int main()
{
	string in;
	while (getline(cin, in)){
		memset(counter, 0, sizeof counter);

		const int n = in.size();
		int current = 0;
		long long answer = 0;

		for (int index = 0; index < n; ++index){
			current += in[index] == '(' ? 1 : -1;
			answer += counter[current];
			++counter[current];
		}

		cout << answer << endl;
	}
}