#include <bits/stdc++.h>
using namespace std;
string str;
int n;
int solve(int index , int value){
	if(value<0)	return 0;
	int ans = 0;
	if(value==1)	ans += (str[index]=='(')?1:0;
	if(str[index]=='(')
		for(int k = 0; k<index; k++)
			ans+=solve(k,value-1);
	else
		for(int k = 0; k< index; k++)
			ans+=solve(k,value+1);
	return ans;
}
int main() {
	cin>>str;
	n = str.length();
	int ans = 0;
	for(int i = 0 ; i<n ; i++)	ans+=solve(i,0);
	cout<<ans;
	return 0;
}

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