Problem: One day Ms Swan bought an orange in a shop. The orange consisted of n·k segments, numbered with integers from 1 to n·k. 

There were k children waiting for Ms Swan at home. The children have recently learned about the orange and they decided to divide it between them. For that each child took a piece of paper and wrote the number of the segment that he would like to get: the i-th (1 ≤ i ≤ k) child wrote the number ai (1 ≤ ai ≤ n·k). All numbers ai accidentally turned out to be different.

Now the children wonder, how to divide the orange so as to meet these conditions:

  * each child gets exactly n orange segments; 
  * the i-th child gets the segment with number ai for sure; 
  * no segment goes to two children simultaneously. 



Help the children, divide the orange and fulfill the requirements, described above.

Input

The first line contains two integers n, k (1 ≤ n, k ≤ 30). The second line contains k space-separated integers a1, a2, ..., ak (1 ≤ ai ≤ n·k), where ai is the number of the orange segment that the i-th child would like to get.

It is guaranteed that all numbers ai are distinct.

Output

Print exactly n·k distinct integers. The first n integers represent the indexes of the segments the first child will get, the second n integers represent the indexes of the segments the second child will get, and so on. Separate the printed numbers with whitespaces.

You can print a child's segment indexes in any order. It is guaranteed that the answer always exists. If there are multiple correct answers, print any of them.

Examples

Input

2 2
4 1


Output

2 4 
1 3 


Input

3 1
2


Output

3 2 1 

Solution (in JAVA):

Solution:
/*
 * To change this template, choose Tools | Templates
 * and open the template in the editor.
 */


/**
 *
 * @author acmicpc
 */
import java.util.*;
import java.math.*;

public class Main {

    void main()
    {
        Scanner cin= new Scanner(System.in);
        int n,k;
        int a[]=new int[40*40],used[]=new int[40*40];
        n=cin.nextInt();
        k=cin.nextInt();
        for(int i=1;i<=n*k;i++) 
            used[i]=0;
        for(int i=1;i<=k;i++)
        {
            a[i]=cin.nextInt();
            used[a[i]]=1;
        }
        for(int i=1;i<=k;i++)
        {
            System.out.print(a[i]);
            for(int j=1;j<=n-1;j++)
                for(int p=1;p<=n*k;p++) 
                if(used[p]==0)
                {
                    used[p]=1;
                    System.out.print(" "+p);
                    break;
                }
           System.out.println();
        }
        
        
        //System.out.println();
    }
    public static void main(String[] args) 
    {
        new Main().main();
    }
}