CF164D Minimum Diameter

Description

You are given $ n $ points on the plane. You need to delete exactly $ k $ of them $ (k<n) $ so that the diameter of the set of the remaining $ n-k $ points were as small as possible. The diameter of a set of points is the maximum pairwise distance between the points of the set. The diameter of a one point set equals zero.

Input Format

The first input line contains a pair of integers $ n,k $ ( $ 2

Output Format

Print $ k $ different space-separated integers from $ 1 $ to $ n $ — the numbers of points to delete. The points are numbered in the order, in which they are given in the input from $ 1 $ to $ n $ . You can print the numbers in any order. If there are multiple solutions, print any of them.