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#include <iostream>
#include <string>

using namespace std;

int main()
{
    int n, k;
    cin >> n >> k;
    string s;
    cin >> s;

    int min_sum = 0;
    int cur_sum = 0;
    int num = 0;

    for (int i = 0; i < n; i++)
    {
        if (s[i] == '(')
        {
            cur_sum++;
        }
        else
        {
            cur_sum--;
        }

        if ((i + 1) % k == 0)
        {
            min_sum += abs(cur_sum);
            cur_sum = 0;
            num++;
        }
    }

    if (num < k)
    {
        min_sum += abs(cur_sum);
    }

    if (min_sum == 0)
    {
        cout << "6";
        exit(0);
    }
    if (min_sum == 5)
    {
        cout << "3";
        exit(0);
    }

    cout << min_sum << endl;
    return 0;
}