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:
class CodeforcesTask361BSolution:
    def __init__(self):
        self.result = ''
        self.n_k = []

    def read_input(self):
        self.n_k = [int(x) for x in input().split(" ")]

    def process_task(self):
        if self.n_k[0] == self.n_k[1]:
            self.result = "-1"
        else:
            res = [0] * self.n_k[0]
            for x in range(self.n_k[0] - self.n_k[1], self.n_k[0]):
                res[x] = x + 1
            res[0] = self.n_k[0] - self.n_k[1]
            for x in range(1, self.n_k[0] - self.n_k[1]):
                res[x] = x
            self.result = " ".join([str(x) for x in res])

    def get_result(self):
        return self.result


if __name__ == "__main__":
    Solution = CodeforcesTask361BSolution()
    Solution.read_input()
    Solution.process_task()
    print(Solution.get_result())