int main(){
    string x;
    cin >> x;
    int n = x.size();
    vector<vector<int>> dp(n+3, vector<int>(n+4));
    dp[0][0] = 1;
    for (int i = 1; i <= n; i++){
        for (int balance = 1; balance <= n/2; balance++){
            if (x[i] == '('){
                dp[i][balance] = dp[i-1][balance-1];
            }
            else if (x[i] == ')'){
                dp[i][balance] = dp[i+1][balance+1];
            }
            else{
                dp[i][balance] = dp[i-1][balance-1] + dp[i+1][balance+1];
            }
        }
    }
    cout << dp[n][n/2];
}