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;
import java.util.HashMap;
import java.util.ArrayList;

public class DividingOrange {
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int k = sc.nextInt();
        HashMap<Integer,Integer> map = new HashMap<Integer,Integer>();
        ArrayList<ArrayList<Integer>> matrix = new ArrayList<ArrayList<Integer>>(); 
        int[] array = new int[n*k];

        for(int i = 0;i < k;i++){
            int temp = sc.nextInt();

            map.put(i,temp);
            array[temp - 1]++;
        }

        for(int i = 0;i < k;i++){
            ArrayList<Integer> temp = new ArrayList<Integer>();
            int count = 0;

            temp.add(map.get(i));

            while(temp.size() != n){
                if(array[count] != 1){
                    temp.add(count + 1);
                    array[count]++;
                }
                count++;
            }
            matrix.add(temp);
        }

        for(int i = 0;i < k;i++){
            String ans = String.valueOf(matrix.get(i).get(0));
            
            for(int j = 1;j < n;j++){
                ans += " ";
                ans += String.valueOf(matrix.get(i).get(j));
            }
            System.out.println(ans);
        }
    }
}