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 PYTHON):

Solution:
import sys # sys.exit() quit()
readln = lambda: map(int, raw_input().split())
#sys.stdin = open('input.txt','r'); sys.stdout = open('output.txt','w')
# graph: G = [[] for _ in xrange(NMAX)]
# v=[];[v.append(raw_input().split()) for i in xrange(n)]
# print x, #no endl

n,k = readln()
if n == k:
	print -1
	sys.exit()
if n-1 == k:
	for _ in range(1,n+1):
		print _,
	sys.exit()
for i in xrange(1,n-k):
	print i+1,
print 1,
for i in xrange(n-k+1,n+1):
	print i,