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.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;
public class Main {
    public static void main(String[] args) throws Exception{
        InputStream file = System.in;
        InputReader in = new InputReader(file);
        PrintWriter out = new PrintWriter("output.txt");
        int n = in.nextInt();
        int k = in.nextInt();
        boolean used[] = new boolean[n*k];
        int a[] = new int[k];
        for(int i=0;i<k;i++)
            a[i] = in.nextInt();
        int index = 1;
        for(int i=0;i<k;i++){
            System.out.print(a[i]+" ");
            int cnt = 0;
            while(cnt<n-1){
                cnt++;
                if(check(index,a)){
                    cnt--;
                }
                else System.out.print(index+" ");
                index++;
            }
            System.out.println();
        }
        //out.close();
    }
    public static boolean check(int x,int a[] ){
        boolean flag = false;
        for(int i=0;i<a.length;i++)
            if(a[i]==x)flag=true;
        return flag;
    }
}
class InputReader{
    public StringTokenizer token;
    public BufferedReader in;
    public InputReader(InputStream file)throws Exception{
        in = new BufferedReader(new InputStreamReader(file));
        token = null;
    }
    public String next(){
        while(token == null || !token.hasMoreTokens()){
            try{
                token = new StringTokenizer(in.readLine());
            }catch(Exception ex){}
        }
        return token.nextToken();
    }
    public int nextInt(){
        return Integer.parseInt(next());
    }
    public long nextLong(){
        return Long.parseLong(next());
    }
    public double nextDouble(){
        return Double.parseDouble(next());
    }

}