CF361B Levko and Permutation

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 $ p_{i} $ of permutation $ p_{1},p_{2},...\ ,p_{n} $ is good if $ gcd(i,p_{i})>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.

The single line contains two integers $ n $ and $ k $ ( $ 1

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.

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.