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.math.*;

public class Main {
    private static long MOD = 1000000007;
    
    public static void main(String[] args) throws Exception {
        Scanner scan = new Scanner(System.in);
        int n = scan.nextInt();
        int k = scan.nextInt();
        if (n == k) {
            System.out.println(-1);
            return;
        }
        
        int minus = n - k;
        int[] arr = new int[n + 1];
        int index = 1;
        if (minus % 2 != 0) {
            minus--;
            arr[index++] = 1;
        }
        while (minus > 0) {
            arr[index] = index + 1;
            arr[index + 1] = index;
            index += 2;
            minus -= 2;
        }
        while (index <= n) {
            arr[index] = index;
            index++;
        }
        for (int i = 1; i <= n; i++) {
            if (i > 1) {
                System.out.print(" ");
            }
            System.out.print(arr[i]);
        }
        System.out.println();
    }
}