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 Div209B {

	public static void main(String[] args) {
		Scanner in = new Scanner(System.in);
		Integer n = in.nextInt();
        Integer k = in.nextInt();
        if(n-k==0){
        	System.out.print(-1);
        	
        }else{
        if(k==0){
        	for(int i=1;i<=n;i++){
        		if(i==n){
        			System.out.print(1 + " ");
        			continue;
        		}
        		System.out.print(i+1 + " ");
        	}
        }else if(k==n-1){
        	for(int i=1;i<=n;i++){
        		
        			System.out.print(i + " ");
        			continue;
        		
        	}
        }
        else	
        for(int i=1;i<=n;i++){
        	
        	
        	
        	if(i==1){
        		System.out.print(2+k + " ");
        		continue;
        	}
        	
        	else if(i==2 || i<2+k){
                	System.out.print(i+ " ");
        	}
        	else if(i>=2+k && i<n){
        		System.out.print(i+1 +" ");
        	}
        	else if(i==n){
        		System.out.print(1);
        	}
        	
        }
        
        }
}
}