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 class b210 {
    public static void main(String cd[]){
        Scanner in=new Scanner(System.in);
        int n=in.nextInt();
        int k=in.nextInt();
        k=n-k;
        if(k==0) {
            System.out.println(-1);
            return;
        }
        int a[]=new int[n+1];
        for(int i=1;i<=n;i++){
            a[i]=i;
        }
        if(k%2==0){
            a[1]=2;
            a[2]=1;
            int count=(k-2)/2;
            for(int i=2;count>0;i++){
        //      System.out.println(i+" ");
                
                int temp=a[2*i];
                a[2*i]=a[2*i-1];
                a[2*i-1]=temp;
                count--;
            }
            
        }
        else
        {
            for(int i=1;i<=(k-1)/2;i++){
                int temp=a[2*i];
                a[2*i]=a[2*i+1];
                a[2*i+1]=temp;
            }
        }
        for(int i=1;i<=n;i++){
            System.out.print(a[i]+" ");
        }
    }
}