import java.io.*;
import java.util.*;
import java.util.stream.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        int k = sc.nextInt();
        long[][] values = new long[30][n];
        int[][] nexts = new int[30][n];
        int[] idxes = new int[n];
        long[] ans = new long[n];
        for (int i = 0; i < n; i++) {
            int x = sc.nextInt();
            nexts[0][i] = (i + x) % n;
            values[0][i] = x;
            idxes[i] = i;
            ans[i] = i + 1;
        }
        for (int i = 1; i < 30; i++) {
            for (int j = 0; j < n; j++) {
                nexts[i][j] = nexts[i - 1][nexts[i - 1][j]];
                values[i][j] = values[i - 1][j] + values[i - 1][nexts[i - 1][j]];
            }
        }
        for (int i = 29; i >= 0; i--) {
            if (k < (1 << i)) {
                continue;
            }
            k -= (1 << i);
            int[] pidxes = new int[n];
            for (int j = 0; j < n; j++) {
                ans[j] += values[i][idxes[j]];
                idxes[j] = nexts[i][idxes[j]];
            }
        }
        System.out.println(String.join("\n", Arrays.stream(ans).mapToObj(String::valueOf).toArray(String[]::new)));
    }
}
class Utilities {
    static String arrayToLineString(Object[] arr) {
        return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));
    }
    
    static String arrayToLineString(int[] arr) {
        return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public int[] nextIntArray() throws Exception {
        return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}