#include<bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;
using mint=modint998244353; //1000000007;
using ll=long long;
using pp=pair<int,int>;
#define sr string 
#define vc vector
#define fi first
#define se second
#define rep(i,n) for(int i=0;i<(int)n;i++)
#define pb push_back
#define all(v) v.begin(),v.end()
#define pque priority_queue
#define bpc(a) __builtin_popcount(a)
int main(){
  int n,k;cin>>n>>k;
  vc<ll>v(n); rep(i,n)cin>>v[i];
  vc<int>vr(n);
  rep(i,n)vr[i]=(i+v[i])%n;
  int t=30;
  vc vx(t,vc<int>(n,0));
  vc vy(t,vc<ll>(n,0));
  vy[0]=v;
  vx[0]=vr;
  rep(i,t-1)rep(j,n)vx[i+1][j]=vx[i][vx[i][j]];
  rep(i,t-1)rep(j,n)vy[i+1][j]=vy[i][j]+vy[i][vx[i][j]];
  rep(i,n){
    int a=i;
    ll ans=i;
    for(int j=t-1;j>=0;j--)if(k>>j&1){
      ans+=vy[j][a];
      a=vx[j][a];
    }
    cout<<ans+1<<"\n";
  }
}