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 A244 {

 public static void main(String args[]){
  
  Scanner in = new Scanner(System.in);
   int n=in.nextInt();
   int k=in.nextInt();
   int ch=0;
   int f[][]= new int[k][n];
   
   int r= n*k;
   boolean b[] =new boolean[r+1];
   
   for(int i=0;i<k;i++){
    
    ch=in.nextInt();
    f[i][0]=ch;
    b[ch]=true;
    
   }
   b[0]=true;
  int i=1; 
  int j=0;
  int l=1;
   while(i<=r){
    if(!b[i]){
     if(j==k){
      j=0;
      l++;
     }
     
     f[j][l]=i;
     j++;
    }
    i++;
    
   }
   
  for( i=0;i<k;i++){
   for( j=0;j<n;j++){
    System.out.print(f[i][j]+" ");
   }
   System.out.println();
    
  }
  
  
  
  
 }
 
 
}