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.Scanner;


public class A_150 {
public static void main(String[] args) {
	Scanner sc= new Scanner(System.in);
   int n=sc.nextInt();
   int k=sc.nextInt();
   int a[]=new int[k+2];
   for (int i = 1; i <=k; i++) {
	   a[i]=sc.nextInt();
}
   int cnt=0; int f=0;
   for (int i = 1; i <=n*k; i++) {
	   boolean w=false;
    	for (int j = 1; j <=k; j++) {
			if(i==a[j]){
				w=true;
			}
    	}
			if(!w){
				System.out.print(i+" ");
				cnt++;
			}
			if(cnt==n-1){
				f++;
				System.out.print(a[f]);
				cnt=0;
				System.out.println();
				if(f==k)
					break;
		}
}
}
}