#include<iostream>
#include<string>
#include<vector>
#include<algorithm>
#include<bitset>
#include<set>
#include<map>
#include<stack>
#include<queue>
#include<deque>
#include<list>
#include<iomanip>
#include<cmath>
#include<cstring>
#include<functional>
#include<cstdio>
#include<cstdlib>
#include<unordered_map>
#include<unordered_set>
using namespace std;

#define repr(i, a, b) for (int i = (int)(a); i < (int)(b); i++)
#define rep(i, n) repr(i, 0, n)
#define INF 2e9
#define MOD 1000000007
//#define MOD 998244353
#define LINF (long long)4e18
#define jck 3.141592
#define PI acos(-1.0);

const double EPS = 1e-10;

using ll = long long;
using Pi = pair<int,int>;
using Pl = pair<ll,ll>;


int main(){
    int N,K; cin >> N >> K;
    vector<int> p(N);
    rep(i,N) cin >> p[i],p[i]--;
    vector<vector<ll>> next(31,vector<ll>(N));
    rep(i,N){
        next[0][i] = p[i]+1;
    }
    rep(i,30){
        rep(j,N){
            next[i+1][j] = next[i][j]+next[i][(j+next[i][j])%N];
        }
    }

    rep(i,N){
        ll ans = i; 
        for(int j = 30; j >= 0; j--){
            if(1<<j&K){
                ans += next[j][ans%N];
            }
        }
        cout << ans+1 << endl;
    }

}