#include <stdio.h>
int main()
{
    char str[50000];
    int i = 0;
    int count1 = 0, count2 = 0;
    scanf("%s", &str);
    for (i = 0; i < 50000; i++)
    {
        if (str[i] == '(' && str[i + 1] == '(')
            count1++;
        if (str[i] == ')' && str[i + 1] == ')')
            count2 += count1;
    }
    printf("%d", count2);
    return 0;
}