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())
# list1=list(map(int,input().split()))
list2=[0]*(n)
for i in range(n):
    list2[i]=i+1
if(n%2==0):
    if(k<n):
        k=n-k
        if(k%2==0):
            # k-=1
            for i in range(0,n,2):
                if(k>0):
                    k-=2
                    list2[i],list2[i+1]=list2[i+1],list2[i]
                else:
                    break
        else:
            k-=1
            for i in range(1,n,2):
                if(k>0):
                    k-=2
                    list2[i],list2[i+1]=list2[i+1],list2[i]
                else:
                    break
        print(*list2)
    else:
        print(-1)
else:
    if(k<n):
        k=n-k
        if(k%2==0):
            # k-=1
            for i in range(0,n,2):
                if(k>0):
                    k-=2
                    list2[i],list2[i+1]=list2[i+1],list2[i]
                else:
                    break
        else:
            k-=1
            for i in range(1,n,2):
                if(k>0):
                    k-=2
                    list2[i],list2[i+1]=list2[i+1],list2[i]
                else:
                    break
        print(*list2)
    else:
        print(-1)