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 $[1, \underline{\textbf{2}}, 3, 2, 4, \underline{\textbf{3}}, \underline{\textbf{1}}]$ (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 $[\underline{\textbf{1}}, \underline{\textbf{3}}, \underline{\textbf{2}}, 4]$. 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 $k$ ($1 \le k \le n \le 2 \cdot 10^5$) — 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 $s_1, s_2, \dots, s_n$ ($1 \le s_i \le 2 \cdot 10^5$).


-----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 $t$ ($t_1, t_2, \dots, t_k$) should satisfy the following condition: $1 \le t_i \le 2 \cdot 10^5$.


-----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.

Difficulty: introductory

Starter code:

Solutions:
from operator import itemgetter
#int(input())
#map(int,input().split())
#[list(map(int,input().split())) for i in range(q)]
#print("YES" * ans + "NO" * (1-ans))
n,k =  map(int,input().split())
si = list(map(int,input().split()))
num = 10**5 * 2 + 1
ai = [0] * num
for i in range(n):
    ai[si[i]] += 1
num3 = num
num = max(ai) + 1
ai2 = [[] for i in range(num)]
for i in range(num3):
    if ai[i] != 0:
        ai2[ai[i]] += [[i,1,ai[i]]]
i = num-1
while k > 0:
    for j in ai2[i]:
        if k == 0:
            break
        num2 =  j[2] // (j[1]+1)
        ai2[num2] += [[j[0],j[1]+1,j[2]]]
        print(j[0],end=" ")
        k -= 1
    i -= 1