#include <bits/stdc++.h>
using namespace std;
int main() {
  long long n, k;
  cin >> n >> k;
  vector<long long> a;
  vector<long long> b;
  long long sum;
  if (k + 1 < n) {
    sum = k + 1;
    b.push_back(sum);
  } else {
    for (long long i = 0; i < n; i++) {
      cout << n << " ";
    }
    return 0;
  }
  for (long long i = 0; i < n; i++) {
    long long te;
    cin >> te;
    te--;
    a.push_back(te);
  }
  for (long long i = 1; i < n; i++) {
    long long re = 0;
    if (a[i] > -1) {
      if (a[i] + k > i) {
        if (a[i] + k < n) {
          re = a[i] + k - i;
        } else {
          re = n - i - 1;
        }
      }
      if (a[i] + k < i) {
        sum = 1;
      } else {
        sum = 0;
      }
      if (sum) {
        if (i - k > a[i] + k) {
          sum += k;
        } else {
          sum += i - 1 - (a[i] + k);
        }
      }
      sum += b[a[i]];
    } else {
      sum = 1;
      if (i - k > -1) {
        sum += k;
      } else {
        sum += i;
      }
    }
    if (i + k < n) {
      sum += k - re;
    } else {
      sum += n - 1 - i - re;
    }
    b.push_back(sum);
  }
  for (long long i = 0; i < n; i++) {
    cout << b[i] << " ";
  }
  return 0;
}
