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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Vector;


public class A {
    public static void main(String[] args) throws NumberFormatException, IOException {
        BufferedReader in=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter out=new PrintWriter(System.out);
        
        
        String[] inp=in.readLine().split(" ");
        
        int n=Integer.parseInt(inp[0]);
        int k=Integer.parseInt(inp[1]);
        
        boolean[] mas=new boolean[n*k];
        int it=0;
        int[] f=new int[k];
        inp=in.readLine().split(" ");
        for(int i=0;i<k; i++){
            f[i]=Integer.parseInt(inp[i]);
            mas[f[i]-1]=true;
        }
        for(int i=0; i<k; i++){
            out.print(f[i]);
            int need=n-1;
            while(need!=0){
                while(mas[it]){
                    it++;
                }
                mas[it]=true;
                out.print(" "+(it+1));
                need--;
            }
            out.println();
        }
        
        
        
        out.close();
    }
}