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[] permulation = new int[n];
        int[] base = new int[n];
        for (int i = 0; i < n; i++) {
            permulation[i] = sc.nextInt();
            base[i] = i;
        }
        int[][] idxes = new int[31][n];
        int[][] counts = new int[31][n];
        for (int i = 0; i < n; i++) {
            idxes[0][i] = (i + permulation[i]) % n;
            if (i + permulation[i] >= n) {
                counts[0][i] = 1;
            }
        }
        for (int i = 1; i < 31; i++) {
            for (int j = 0; j < n; j++) {
                idxes[i][j] = idxes[i - 1][idxes[i - 1][j]];
                counts[i][j] = counts[i - 1][j] + counts[i - 1][idxes[i - 1][j]];
            }
        }
        long[] add = new long[n];
        for (int i = 30; i >= 0; i--) {
            if (k >= (1 << i)) {
                k -= (1 << i);
                for (int j = 0; j < n; j++) {
                    add[j] += counts[i][base[j]];
                    base[j] = idxes[i][base[j]];
                }
            }
        }
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < n; i++) {
            sb.append(add[i] * n + base[i] + 1).append("\n");
        }
        System.out.print(sb);
    }
}