Problem: You are given an array s consisting of n integers.

You have to find any array t of length k such that you can cut out maximum number of copies of array t from array s.

Cutting out the copy of t means that for each element t_i of array t you have to find t_i in s and remove it from s. If for some t_i you cannot find such element in s, then you cannot cut out one more copy of t. The both arrays can contain duplicate elements.

For example, if s = [1, 2, 3, 2, 4, 3, 1] and k = 3 then one of the possible answers is t = [1, 2, 3]. This array t can be cut out 2 times. 

  * To cut out the first copy of t you can use the elements [1, \underline{2}, 3, 2, 4, \underline{3}, \underline{1}] (use the highlighted elements). After cutting out the first copy of t the array s can look like [1, 3, 2, 4]. 
  * To cut out the second copy of t you can use the elements [\underline{1}, \underline{3}, \underline{2}, 4]. After cutting out the second copy of t the array s will be [4]. 



Your task is to find such array t that you can cut out the copy of t from s maximum number of times. If there are multiple answers, you may choose any of them.

Input

The first line of the input contains two integers n and k (1 ≤ k ≤ n ≤ 2 ⋅ 10^5) — the number of elements in s and the desired number of elements in t, respectively.

The second line of the input contains exactly n integers s_1, s_2, ..., s_n (1 ≤ s_i ≤ 2 ⋅ 10^5).

Output

Print k integers — the elements of array t such that you can cut out maximum possible number of copies of this array from s. If there are multiple answers, print any of them. The required array t can contain duplicate elements. All the elements of t (t_1, t_2, ..., t_k) should satisfy the following condition: 1 ≤ t_i ≤ 2 ⋅ 10^5.

Examples

Input


7 3
1 2 3 2 4 3 1


Output


1 2 3 


Input


10 4
1 3 1 3 10 3 7 7 12 3


Output


7 3 1 3


Input


15 2
1 2 1 1 1 2 1 1 2 1 2 1 1 1 1


Output


1 1 

Note

The first example is described in the problem statement.

In the second example the only answer is [7, 3, 1, 3] and any its permutations. It can be shown that you cannot choose any other array such that the maximum number of copies you can cut out would be equal to 2.

In the third example the array t can be cut out 5 times.

Solution (in JAVA):

Solution:
//package com.arnavarora.usaco_prac;

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashMap;
import java.util.StringTokenizer;

public class Sub {
	public static Item[] all;
	public static int k, size;
	public static void main(String[] args) throws Exception{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
		StringTokenizer st = new StringTokenizer(br.readLine());
		int n = Integer.parseInt(st.nextToken());
		k = Integer.parseInt(st.nextToken());
		//binary search on number of cutouts
		st = new StringTokenizer(br.readLine());
		int[] nums = new int[n];
		HashMap<Integer, Integer> hash = new HashMap<>();
		for (int i = 0; i<n; i++) {
			nums[i] = Integer.parseInt(st.nextToken());
			hash.put(nums[i], 0);
		}
		int best = 0;
		for (int i = 0; i<n; i++) {
			int cur = hash.get(nums[i]);
			hash.put(nums[i], cur+1);
			best = Math.max(cur+1, best);
		}
		size = hash.keySet().size();
		all = new Item[hash.keySet().size()];
		int count = 0;
		for (int it: hash.keySet()) {
			all[count] = new Item(it, hash.get(it));
			count++;
		}
		Arrays.sort(all);
		int lo = 0;
		int hi = best;
		int mid;
		int res = 1;
		while (lo<=hi) {
			mid = (lo+hi)/2;
			if (check(mid)) {
				res = mid;
				lo = mid+1;
			}else {
				hi = mid-1;
			}
		}
		//check method keeps on subtracting from number after number and checks if enough for cutouts
		int length = 0;
		int now = 0;
		ArrayList<Integer> answer = new ArrayList<Integer>();
		while (now<size && length<k) {
			int to_do = all[now].count/res;
			for (int j = 0; j<to_do; j++) {
				answer.add(all[now].number);
			}
			length+=to_do;
			now++;
		}
		for (int i = 0; i<k; i++) {
			System.out.print(answer.get(i)+" ");
		}
}
	static boolean check(int pos) {
		if (pos==0) {
			return false;
		}
		int length = 0;
		int now = 0;
		while (now<size && length<k) {
			length += all[now].count/pos;
			now++;
		}
		return length>=k;
	}
	static class Item implements Comparable<Item>{
		int number, count;
		public Item(int num, int c) {
			number = num;
			count = c;
		}
		@Override
		public int compareTo(Item o) {
			if (this.count>o.count) {
				return -1;
			}else if (this.count<o.count) {
				return 1;
			}
			return 0;
		}
	}
}