B. Levko and Permutationtime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputLevko 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.InputThe single line contains two integers n and k (1 ≤ n ≤ 105, 0 ≤ k ≤ n).OutputIn 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.ExamplesInput4 2Output2 4 3 1Input1 1Output-1NoteIn 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.
Input4 2
Output2 4 3 1
['constructive algorithms', 'math', 'number theory', '*1200']