#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
inline int my_getchar_unlocked(){
  static char buf[1048576];
  static int s = 1048576;
  static int e = 1048576;
  if(s == e && e == 1048576){
    e = fread_unlocked(buf, 1, 1048576, stdin);
    s = 0;
  }
  if(s == e){
    return EOF;
  }
  return buf[s++];
}
inline void rd(int &x){
  int k;
  int m=0;
  x=0;
  for(;;){
    k = my_getchar_unlocked();
    if(k=='-'){
      m=1;
      break;
    }
    if('0'<=k&&k<='9'){
      x=k-'0';
      break;
    }
  }
  for(;;){
    k = my_getchar_unlocked();
    if(k<'0'||k>'9'){
      break;
    }
    x=x*10+k-'0';
  }
  if(m){
    x=-x;
  }
}
struct MY_WRITER{
  char buf[1048576];
  int s;
  int e;
  MY_WRITER(){
    s = 0;
    e = 1048576;
  }
  ~MY_WRITER(){
    if(s){
      fwrite_unlocked(buf, 1, s, stdout);
    }
  }
}
;
MY_WRITER MY_WRITER_VAR;
void my_putchar_unlocked(int a){
  if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){
    fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout);
    MY_WRITER_VAR.s = 0;
  }
  MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a;
}
inline void wt_L(char a){
  my_putchar_unlocked(a);
}
inline void wt_L(long long x){
  int s=0;
  int m=0;
  char f[20];
  if(x<0){
    m=1;
    x=-x;
  }
  while(x){
    f[s++]=x%10;
    x/=10;
  }
  if(!s){
    f[s++]=0;
  }
  if(m){
    my_putchar_unlocked('-');
  }
  while(s--){
    my_putchar_unlocked(f[s]+'0');
  }
}
int N;
int K;
int P[100000];
int go[32][100000];
int gain[32][100000];
int main(){
  int b;
  int i;
  int j;
  int k;
  long long res;
  rd(N);
  rd(K);
  {
    int Lj4PdHRW;
    for(Lj4PdHRW=(0);Lj4PdHRW<(N);Lj4PdHRW++){
      rd(P[Lj4PdHRW]);
    }
  }
  for(i=(0);i<(N);i++){
    k = i + P[i];
    go[0][i] = k % N;
    gain[0][i] = k / N;
  }
  for(b=(1);b<(32);b++){
    for(i=(0);i<(N);i++){
      go[b][i] = go[b-1][go[b-1][i]];
      gain[b][i] = gain[b-1][i] + gain[b-1][go[b-1][i]];
    }
  }
  for(i=(0);i<(N);i++){
    res = 0;
    k = i;
    for(b=(0);b<(32);b++){
      if(K&1<<b){
        res += gain[b][k];
        k = go[b][k];
      }
    }
    res = res * N + k + 1;
    wt_L(res);
    wt_L('\n');
  }
  return 0;
}
// cLay varsion 20200317-1

// --- original code ---
// int N, K, P[1d5];
// int go[32][1d5], gain[32][1d5];
// {
//   int i, j, k;
//   ll res;
//   rd(N,K,P(N));
//   rep(i,N){
//     k = i + P[i];
//     go[0][i] = k % N;
//     gain[0][i] = k / N;
//   }
//   rep(b,1,32) rep(i,N){
//     go[b][i] = go[b-1][go[b-1][i]];
//     gain[b][i] = gain[b-1][i] + gain[b-1][go[b-1][i]];
//   }
// 
//   rep(i,N){
//     res = 0;
//     k = i;
//     rep(b,32) if(K&1<<b){
//       res += gain[b][k];
//       k = go[b][k];
//     }
//     res = res * N + k + 1;
//     wt(res);
//   }
// }