Problem Statement

There were $N$ participants in a contest. The participant ranked $i$-th had the nickname $S_i$.
Print the nicknames of the top $K$ participants in lexicographical order.

What is lexicographical order?

Simply put, the lexicographical order is the order of words in a dictionary. As a formal description, below is an algorithm to order distinct strings $S$ and $T$.

Let $S_i$ denote the $i$-th character of a string $S$. We write $S \\lt T$ if $S$ is lexicographically smaller than $T$, and $S \\gt T$ if $S$ is larger.

1. Let $L$ be the length of the shorter of $S$ and $T$. For $i=1,2,\\dots,L$, check whether $S_i$ equals $T_i$.
2. If there is an $i$ such that $S_i \\neq T_i$, let $j$ be the smallest such $i$. Compare $S_j$ and $T_j$. If $S_j$ is alphabetically smaller than $T_j$, we get $S \\lt T$; if $S_j$ is larger, we get $S \\gt T$.
3. If there is no $i$ such that $S_i \\neq T_i$, compare the lengths of $S$ and $T$. If $S$ is shorter than $T$, we get $S \\lt T$; if $S$ is longer, we get $S \\gt T$.

Constraints

• $1 \\leq K \\leq N \\leq 100$
• $K$ and $N$ are integers.
• $S_i$ is a string of length $10$ consisting of lowercase English letters.
• $S_i \\neq S_j$ if $i \\neq j$.

Input

The input is given from Standard Input in the following format:

$N$ $K$ $S_1$ $S_2$ $\\vdots$ $S_N$

Output

Print the nicknames, separated by newlines.

Sample Input 1

5 3
abc
aaaaa
xyz
a
def

Sample Output 1

aaaaa
abc
xyz

This contest had five participants. The participants ranked first, second, third, fourth, and fifth had the nicknames abc, aaaaa, xyz, a, and def, respectively.

The nicknames of the top three participants were abc, aaaaa, xyz, so print these in lexicographical order: aaaaa, abc, xyz.

Sample Input 2

4 4
z
zyx
zzz
rbg

Sample Output 2

rbg
z
zyx
zzz

Sample Input 3

3 1
abc
arc
agc

Sample Output 3

abc