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:
	import java.util.*;
	import java.io.*;
	import static java.lang.Math.*;
	public class Main
	{
		
		public static void main(String args[]) throws IOException
		{
			Scanner sc = new Scanner(System.in);
			PrintWriter pw = new PrintWriter(System.out);
			int n = sc.nextInt();
			int k = sc.nextInt();
			int total = n*k;
			int arr[] = new int[n];
			ArrayList<Integer> arrList[] = new ArrayList[k+1];
			for(int i = 1 ; i < arrList.length ; i++)
			{
				arrList[i] = new ArrayList<>();
			}
			boolean used[] = new boolean[n*k+1];
			for(int i = 1 ; i <= k ; i++)
			{
				int temp = sc.nextInt();
				arrList[i].add(temp);
				used[temp] = true;
			}
			int j = 1;
			for(int i = 1 ; i < used.length ; i++)
			{
				if(j<=k && arrList[j].size() == n){
					j++;
				}
				if(!used[i]){
					arrList[j].add(i);
				}
			}
			for(int i = 1 ; i < arrList.length; i++){
				for(j = 0 ; j < arrList[i].size(); j++)
				{
					pw.print(arrList[i].get(j)+" ");
				}
				pw.println();
			}
			
			pw.close();
		}
	}