import java.util.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int k = sc.nextInt();
        int[] arr = new int[n];
        long[][] answers = new long[n][31];
        for (int i = 0; i < n; i++) {
            arr[i] = sc.nextInt();
            answers[i][0] = arr[i];
        }
        for (int i = 1; i < 31; i++) {
            for (int j = 0; j < n; j++) {
                answers[j][i] = answers[j][i - 1] + answers[(int)((j + answers[j][i - 1]) % n)][i - 1];
            }
        }
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < n; i++) {
            int x = k;
            long ans = i;
            for (int j = 30; j >= 0; j--) {
                if (x >= (1 << j)) {
                    ans += answers[(int)(ans % n)][j];
                    x -= (1 << j);
                }
            }
            ans++;
            sb.append(ans).append("\n");
        }
        System.out.print(sb);
    }
}