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.io.*;
import java.util.*;
public class Template {
	//static int cnt=0;
static Scanner sc=new Scanner(System.in);
	static ArrayList<Integer> v=new ArrayList();;
	static int max=0;
	static BufferedReader br=new BufferedReader(new InputStreamReader(System.in)); 
	
	public static void main (String[] args) throws java.lang.Exception{
		
		int n=sc.nextInt();
int k=sc.nextInt();
ArrayList<Integer> arr=new ArrayList();
for(int i=0;i<=n;i++) {
	arr.add(i);
}
if(k==n)
	System.out.println("-1");
else if(k==n-1) {
	for(int i=1;i<arr.size();i++) {
		System.out.print(arr.get(i)+" ");
	}
}

else {
	int nexact=n-k;
	int d=nexact/2;
	int r=nexact%2;
	for(int i=1;i<=2*d;i++) {
		arr.set(i, i+1);
		arr.set(i+1, i);
		i++;
	}
	
	if(r==1) {
		int temp=arr.get(2*d);
		arr.set(2*d, arr.get(2*d+1));
		arr.set(2*d+1, temp);
	}
	
	for(int i=1;i<arr.size();i++) {
		System.out.print(arr.get(i)+" ");
	}
}


	}


	


	



	
//}
	
	
	
	
	
		
	
	
	

		
	
	




	
	

		
		
	
		
	

	
	
	

		
	
	
	
	
static long gcd(long a,long b) {
		
	
		if(b==0) {
		return a;
		}
			
		
	return gcd(b,a%b);
	
	}
	
	
	
	
	
	public static int s2i(String s) {
		return Integer.parseInt(s);
	}
	

	
	
	public static int LeastIntFn(int a,int b) {
		if((b%a)==0) {
			return (int)b/a;
		}
		return (int)(b/a)+1;
	}
	
	
	
	public static ArrayList<Long> arrInpLong(int n){
		ArrayList<Long> arr=new ArrayList();
		for(int i=0;i<n;i++) {
		arr.add(sc.nextLong());	
		}
		return arr;
	}
	public static ArrayList<String> arrInpStr(int n){
		ArrayList<String> arr=new ArrayList();
		for(int i=0;i<n;i++) {
					arr.add(sc.nextLine());	
		}
		return arr;
	}
	
	public static ArrayList<Integer> arrInpInt(int n){
		ArrayList<Integer> arr=new ArrayList();
		for(int i=0;i<n;i++) {
			int k=sc.nextInt();
			if(k>max)
				max=k;
		arr.add(k);	
		}
		return arr;
	}
	
	
	public static void printArrInt(ArrayList<Integer> arr) {
		for(int i=0;i<arr.size();i++) {
			System.out.print(arr.get(i)+" ");
	}	
		}
	
	
	public static int min(int a,int b,int c) {
		int min1=Math.min(a, b);
		return Math.min(min1,c);
	}
}