/**
 *   @FileName	a.cpp
 *   @Author	kanpurin
 *   @Created	2020.09.30 19:17:42
**/

#include "bits/stdc++.h" 
using namespace std; 
typedef long long ll;

int main() {
    int n,k;cin >> n >> k;
    vector<int> p(n);
    for (int i = 0; i < n; i++) {
        cin >> p[i];
    }
    vector<vector<int>> next_v(32,vector<int>(n));
    vector<vector<ll>> sum(32,vector<ll>(n));
    for (int i = 0; i < n; i++) {
        next_v[0][i] = (i+p[i])%n;
        sum[0][i] = p[i];
    }
    for (int i = 1; i < 32; i++) {
        for (int j = 0; j < n; j++) {
            next_v[i][j] = next_v[i-1][next_v[i-1][j]];
            sum[i][j] = sum[i-1][j] + sum[i-1][next_v[i-1][j]];
        }
    }
    for (int i = 0; i < n; i++) {
        ll now = i;
        ll ans = i+1;
        for (int j = 0; j < 32; j++) {
            if (k & (1<<j)) {
                ans += sum[j][now];
                now = next_v[j][now];
            }
        }
        cout << ans << endl;
    }
    return 0;
}