#include <bits/stdc++.h>

using i32 = int_fast32_t;
using i64 = int_fast64_t;
using u32 = uint_fast32_t;
using u64 = uint_fast64_t;
using f64 = double;
using f80 = long double;

#define FOR(v, a, b) for(i64 v = (a); v < (b); ++v)
#define FORE(v, a, b) for(i64 v = (a); v <= (b); ++v)
#define REP(v, n) FOR(v, 0, n)
#define REPE(v, n) FORE(v, 0, n)
#define REV(v, a, b) for(i64 v = (a); v >= (b); --v)
#define ALL(x) (x).begin(), (x).end()
#define RALL(x) (x).rbegin(), (x).rend()
#define ITR(it, c) for(auto it = (c).begin(); it != (c).end(); ++it)
#define RITR(it, c) for(auto it = (c).rbegin(); it != (c).rend(); ++it)
#define EXIST(c,x) ((c).find(x) != (c).end())
#define fst first
#define snd second
#define UNIQ(v) (v).erase(unique(ALL(v)), (v).end())
#define bit(i) (1LL<<(i))

#ifdef DEBUG
#include <Mylib/Debug/debug.cpp>
#else
#define dump(...) ((void)0)
#endif

using namespace std;

template <typename I> void join(ostream &ost, I s, I t, string d=" "){for(auto i=s; i!=t; ++i){if(i!=s)ost<<d; ost<<*i;}ost<<endl;}
template <typename T> istream& operator>>(istream &is, vector<T> &v){for(auto &a : v) is >> a; return is;}
template <typename T> void puts_all(const T &value){std::cout << value << "\n";}
template <typename T, typename ...Args> void puts_all(const T &value, const Args&... args){std::cout << value << " ";puts_all(args...);}

template <typename T, typename U> bool chmin(T &a, const U &b){return (a>b ? a=b, true : false);}
template <typename T, typename U> bool chmax(T &a, const U &b){return (a<b ? a=b, true : false);}
template <typename T, size_t N, typename U> void fill_array(T (&a)[N], const U &v){fill((U*)a, (U*)(a+N), v);}
template <typename T> auto make_vector(int n, int m, const T &value){return vector<vector<T>>(n, vector<T>(m, value));}


struct Init{
  Init(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(12);
    cerr << fixed << setprecision(12);
  }
}init;


template <typename T, typename Func>
T power(T n, int64_t p, const T &e, const Func &f){
  T ret = e;
  
  while(p > 0){
    if(p & 1) ret = f(ret, n);
    n = f(n, n);
    p >>= 1;
  }
  
  return ret;
}




auto f(const vector<pair<i64,i64>> &a, const vector<pair<i64,i64>> &b){
  const int N = a.size();
  vector<pair<i64,i64>> ret(N);
  for(int i = 0; i < (int)N; ++i){
    ret[i].first = a[b[i].first].first;
    ret[i].second = b[i].second + a[b[i].first].second;
  }
  return ret;
}



int main(){
  int N, K;
  while(cin >> N >> K){
    vector<int> P(N); cin >> P;

    vector<pair<i64,i64>> e(N);
    REP(i,N) e[i] = make_pair(i, 0);
    
    vector<pair<i64,i64>> a(N);
    REP(i,N){
      int j = (i + P[i]) % N;
      a[i] = make_pair(j, j <= i);
    }

    auto res = power(a, K, e, f);

    vector<i64> ans(N);
    REP(i,N){
      ans[i] = res[i].first + 1 + res[i].second * N;
    }    
      
    join(cout, ALL(ans), "\n");

    cerr << endl;
  }

  return 0;
}