#include <bits/stdc++.h>
using namespace std;
long long mod = 1000000007;
long long mod2 = 998244353;
long long mod3 = 1000003;
long long mod4 = 998244853;
long long mod5 = 1000000009;
long long inf = 1LL << 60;
double pi = 3.141592653589793238462643383279L;
double eps = 1e-14;
int dh[4] = {1, -1, 0, 0};
int dw[4] = {0, 0, 1, -1};
int ddh[8] = {-1, -1, -1, 0, 0, 1, 1, 1};
int ddw[8] = {-1, 0, 1, -1, 1, -1, 0, 1};
struct custom_hash {
  static uint64_t splitmix64(uint64_t x) {
    x += 0x9e3779b97f4a7c15;
    x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
    x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
    return x ^ (x >> 31);
  }
  size_t operator()(uint64_t x) const {
    static const uint64_t FIXED_RANDOM =
        chrono::steady_clock::now().time_since_epoch().count();
    return splitmix64(x + FIXED_RANDOM);
  }
};
long long gcd(long long a, long long b) {
  if (a < b) swap(a, b);
  if (b == 0) return a;
  if (a % b == 0) return b;
  return gcd(b, a % b);
}
long long lcm(long long a, long long b) {
  long long c = gcd(a, b);
  return a * b / c;
}
long long Pow(long long n, long long k) {
  long long ret = 1;
  long long now = n;
  while (k > 0) {
    if (k & 1) ret *= now;
    now *= now;
    k /= 2;
  }
  return ret;
}
long long beki(long long n, long long k, long long md) {
  long long ret = 1;
  long long now = n;
  now %= md;
  while (k > 0) {
    if (k % 2 == 1) {
      ret *= now;
      ret %= md;
    }
    now *= now;
    now %= md;
    k /= 2;
  }
  return ret;
}
long long gyaku(long long n, long long md) { return beki(n, md - 2, md); }
long long popcount(long long n) {
  long long ret = 0;
  long long u = n;
  while (u > 0) {
    ret += u % 2;
    u /= 2;
  }
  return ret;
}
vector<int> v[200001];
bool used[200001];
long long ue[200001], sita[200001];
long long ans = 0;
void dfs(int now, int par, long long cnt) {
  long long ret = 0;
  for (long long i = 0; i < v[now].size(); i++) {
    int ne = v[now][i];
    if (ne == par) continue;
    dfs(ne, now, cnt + 1);
    ret += sita[ne] + 1;
  }
  sita[now] = ret;
  ue[now] = cnt;
}
void dfs2(int now, int par, long long cnt) {
  if (used[now] == false) ans += cnt;
  for (long long i = 0; i < v[now].size(); i++) {
    int ne = v[now][i];
    if (ne == par) continue;
    long long nc = cnt;
    if (used[now]) nc++;
    dfs2(ne, now, nc);
  }
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, k;
  cin >> n >> k;
  for (long long i = 0; i < n - 1; i++) {
    int a, b;
    cin >> a >> b;
    a--;
    b--;
    v[a].push_back(b);
    v[b].push_back(a);
  }
  dfs(0, -1, 0);
  vector<pair<long long, long long> > vv;
  for (long long i = 0; i < n; i++) {
    vv.push_back({sita[i] - ue[i], i});
  }
  sort(vv.begin(), vv.end(), greater<pair<long long, long long> >());
  fill(used, used + n, false);
  for (long long i = 0; i < n - k; i++) used[vv[i].second] = true;
  dfs2(0, -1, 0);
  cout << ans << endl;
}
