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.*;
import java.math.*;

public class Main {

    final static int mod = 1000000007;
    static FastReader sc;

    public static void solution() throws IOException {
        int n = sc.nextInt();
        int k = sc.nextInt();
        int a[] = new int[n];
        for(int i=0; i<n; i++) a[i] = i+1;

        if(k > n-1) System.out.println(-1);
        else {
            int rot = n - k;
            StringBuilder out = new StringBuilder();
            for(int i=1; i<rot; i++)
            {
                out.append(a[i]).append(" ");
            }
            out.append(a[0]).append(" ");
            for(int i=rot; i<n; i++) {
                out.append(a[i]).append(" ");
            }
            System.out.println(out.toString());
        }
    }

    // Fast IO
    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() throws FileNotFoundException {
            File in = new File("input.txt");
            if (in.exists()) {
                br = new BufferedReader(new InputStreamReader(new FileInputStream("input.txt")));
            } else {
                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());
        }

        float nextFloat() {
            return Float.parseFloat(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;
        }
    }

    // GCD
    public static int __gcd(int a, int b) {
        BigInteger n1 = BigInteger.valueOf(a);
        BigInteger n2 = BigInteger.valueOf(b);
        BigInteger gcd = n1.gcd(n2);
        return gcd.intValue();
    }

    public static long __gcd(long a, long b) {
        BigInteger n1 = BigInteger.valueOf(a);
        BigInteger n2 = BigInteger.valueOf(b);
        BigInteger gcd = n1.gcd(n2);
        return gcd.longValue();
    }

    public static void main(String args[]) throws FileNotFoundException {
        long start = 0, end = 0;
        try {
            File out = new File("output.txt");
            sc = new FastReader();
            if (out.exists()) {
                System.setOut(new PrintStream(out));
                start = System.nanoTime();
            }

            int test_cases = 1;
//            test_cases = sc.nextInt();
            while (test_cases-- > 0) {
                solution();
            }
            if (out.exists()) {
                end = System.nanoTime();
                System.out.println("Execution time: " + (end - start) / 1000000 + " ms");
            }
        } catch (Exception e) {
            System.out.println("Exception: " + e);
            return;
        }
    }
}