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())
ans=[i+1 for i in range(n)]
if(k==n):
    print(-1)
else:
    temp=n-k
    
    if(temp==1):
        print(*ans)
        exit()
    if(temp%2==1):
        temp-=1
        for i in range((temp)//2):
            j=2*i+1
            m=j+1
            ans[j],ans[m]=ans[m],ans[j]
        print(*ans)
    else:
        
        temp=temp//2
        for i in range((temp)):
            j=2*i
            m=j+1
            ans[j],ans[m]=ans[m],ans[j]
        print(*ans)