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 PYTHON3):

Solution:
n, k = map(int, input().split())
if n==k:
    print(-1)
else:
    li = []
    co = 0
    ind = 0
    for j in range(n,-1, -1):
        if co==k:
            ind = j
            break 
        else:
            li.append(j)
            #print(j, end = " ")
            co+=1
    #print(ind)
    for j in range(ind,-1,-1):
        if j==1:
            break
        else:
            #print(j-1, end = " ")
            li.append(j-1)
    #print(n-k)
    #for i in range(1, n+1):
        #if i not in li:
            #print(
          #"li.append(i)
            #break
    li.append(n-k)
    li=li[::-1]
    print(*li)