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.*;
import java.io.*;

public class _361B {

	public static void main(String[] args) {
		FastScanner fs = new FastScanner();
		
		int n = fs.nextInt();
		int k = fs.nextInt();
		
		int count = 1;
		
		if(n-k <= 0)
		{
			System.out.println(-1);
			return;
		}
		
		int val = n-k;
		System.out.print(val + " ");
		n--;
		
		while(n-- > 0)
		{
			if(count == val)
			{
				count++;
				System.out.print(count + " ");
				count++;
			}
			else
			{
				System.out.print(count + " ");
				count++;
			}
		}
		

	}
	
	static class FastScanner {
		BufferedReader br;
		StringTokenizer st;

		public FastScanner() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}

		String next() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}

		int nextInt() {
			return Integer.parseInt(next());
		}

		long nextLong() {
			return Long.parseLong(next());
		}

		double nextDouble() {
			return Double.parseDouble(next());
		}

		String nextLine() {
			String str = "";
			try {
				str = br.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}
	}

	static class Pair {
		public int x;
		public int y;

		// Constructor
		public Pair(int x, int y) {
			this.x = x;
			this.y = y;
		}
	}

	// class to define user defined comparator
	static class Compare {

		static void compare(Pair arr[], int n) {
			// Comparator to sort the pair according to second element
			Arrays.sort(arr, new Comparator<Pair>() {
				@Override
				public int compare(Pair p1, Pair p2) {
					if (p1.y == p2.y)
						return p1.x - p2.x;
					else
						return p1.y - p2.y;
				}
			});
		}
	}


}