Description

There is an array of N integer numbers in the interval from -30000 to 30000. The task is to select K elements of this array with maximal possible product.

Input

The input consists of N + 1 lines. The first line contains N and K (1 ≤ K ≤ N ≤ 100) separated by one or several spaces. The others contain values of array elements.

Output

The output contains a single line with values of selected elements separated by one space. These values must be in non-increasing order.

4 2
1
7
2
0

7 2

Source

, Western Subregion