# 2901. Big Number

Trillion, quadrillion, quintillion, sextillion, septillion, octillion — all is trifle! Vasya knows how to get a really big number. One should consider several “ordinary” numbers, and then write them down consequently one after another on a piece of paper.
Vasya decided to demonstrate this idea to his elder brother Pete. He prepared a sequence of N positive integers and started writing them down one after another on a piece of paper. After observing this process for a while, Pete got tired and suggested Vasya to solve the following puzzle.
Vasya’s goal is to remove exactly K numbers from his sequence so that if one concatenates the remaining numbers (keeping the original order) he gets the largest possible number. Please, help Vasya.

### 输入格式

The first line contains two integers N and K denoting how many numbers are prepared by Vasya and how many of them should be removed, respectively (2 ≤ N ≤ 105, 1 ≤ K ≤ N − 1 and K ≤ 100). The second line contains N space separated positive integers not exceeding 109.

### 输出格式

Please, output the largest possible number Vasya can obtain by removing exactly K numbers from the sequence.

### 样例

Input
5 2
123 37 45 9 18

Output
1234518


7 人解决，23 人已尝试。

11 份提交通过，共有 72 份提交。

8.1 EMB 奖励。