#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
typedef pair<ll, ll> p_ll;

template<class T>
void debug(T itr1, T itr2) { auto now = itr1; while(now<itr2) { cout << *now << " "; now++; } cout << endl; }
#define repr(i,from,to) for (int i=(int)from; i<(int)to; i++)
#define all(vec) vec.begin(), vec.end()
#define rep(i,N) repr(i,0,N)
#define per(i,N) for (int i=(int)N-1; i>=0; i--)

const ll MOD = pow(10,9)+7;
const ll LLINF = pow(2,61)-1;
const int INF = pow(2,30)-1;

vector<ll> fac;
void c_fac(int x=pow(10,6)+10) { fac.resize(x,true); rep(i,x) fac[i] = i ? (fac[i-1]*i)%MOD : 1; }
ll inv(ll a, ll m=MOD) { ll b = m, x = 1, y = 0; while (b!=0) { int d = a/b; a -= b*d; swap(a,b); x -= y*d; swap(x,y); } return (x+m)%m; }
ll nck(ll n, ll k) { return fac[n]*inv(fac[k]*fac[n-k]%MOD)%MOD; }
ll gcd(ll a, ll b) { if (a<b) swap(a,b); return b==0 ? a : gcd(b, a%b); }
ll lcm(ll a, ll b) { return a/gcd(a,b)*b; }


int main() {
  ll N, K; cin >> N >> K; K--;
  string S; cin >> S;
  vector<ll> plus[N+1], minus[N+1];
  ll count[N+1] = {};
  rep(i,N) {
    if (S[i]=='(') { count[i+1] = count[i]+1; plus[count[i+1]].push_back(i); }
    else { count[i+1] = count[i]-1; minus[count[i+1]].push_back(i); }
  }
  // rep(i,N+1) debug(all(plus[i]));
  // rep(i,N+1) debug(all(minus[i]));

  ll result;
  if (S[K]=='(') result = *upper_bound(all(minus[count[K+1]-1]),K) + 1;
  else result =  *(upper_bound(all(plus[count[K+1]+1]),K)-1) + 1;
  cout << result << endl;
  return 0;
}