Problem: Levko loves permutations very much. A permutation of length n is a sequence of distinct positive integers, each is at most n.

Let’s assume that value gcd(a, b) shows the greatest common divisor of numbers a and b. Levko assumes that element pi of permutation p1, p2, ... , pn is good if gcd(i, pi) > 1. Levko considers a permutation beautiful, if it has exactly k good elements. Unfortunately, he doesn’t know any beautiful permutation. Your task is to help him to find at least one of them.

Input

The single line contains two integers n and k (1 ≤ n ≤ 105, 0 ≤ k ≤ n).

Output

In a single line print either any beautiful permutation or -1, if such permutation doesn’t exist.

If there are multiple suitable permutations, you are allowed to print any of them.

Examples

Input

4 2


Output

2 4 3 1

Input

1 1


Output

-1

Note

In the first sample elements 4 and 3 are good because gcd(2, 4) = 2 > 1 and gcd(3, 3) = 3 > 1. Elements 2 and 1 are not good because gcd(1, 2) = 1 and gcd(4, 1) = 1. As there are exactly 2 good elements, the permutation is beautiful.

The second sample has no beautiful permutations.

Solution (in JAVA):

Solution:
import java.util.Scanner;

public final class PROBB {
    public static void main(String []args) {
        Scanner scn=new Scanner(System.in);
        int n,k;
        n=scn.nextInt();
        k=scn.nextInt();
        if(n==k){
            System.out.println(-1);
        }else if(n-1==k){
            for (int i = 0; i < n; i++) {
                if(i==n-1){
                    System.out.println((i+1));
                }else{
                    System.out.print((i+1)+" ");
                }
            }
        }else{
            for (int i = 1; i <= k+1; i++) {
                if(i==1){
                    System.out.print((k+2)+" ");
                }else{
                    System.out.print((i)+" ");
                }
            }
            for (int i = k+2; i <=n; i++) {
                if(i==n){
                    System.out.println(1);
                }else{
                    System.out.print((i+1)+" ");
                }
            }
        }
        scn.close();
    }
}