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.FileReader;
import java.io.InputStreamReader;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collection;
import java.util.Collections;
import java.util.LinkedList;
import java.util.Queue;
import java.util.StringTokenizer;

public class Main {
	public static void main(String[] args) throws Throwable
	{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
//		BufferedReader br = new BufferedReader(new FileReader("out1"));
//		PrintWriter out = new PrintWriter(System.out);
		StringTokenizer st = new StringTokenizer(br.readLine());
		int n = Integer.parseInt(st.nextToken());
		int k = Integer.parseInt(st.nextToken());
		boolean[] taken = new boolean[n*k];
		ArrayList<Integer>[] arr = new ArrayList[k];
		for (int i = 0; i < arr.length; i++) {
			arr[i] = new ArrayList<Integer>();
		}
		st = new StringTokenizer(br.readLine());
		for (int i = 0; i < k; i++) {
			int x = Integer.parseInt(st.nextToken()) -1;
			taken[x] = true;
			arr[i].add(x);
		}
		for(int i = 0;i<k;i++)
		{
			for (int j = 0; j < taken.length && arr[i].size()<n; j++) 
			{
				if(!taken[j])
				{
					taken[j] = true;
					arr[i].add(j);
				}
			}
		
		}
		for (int i = 0; i < arr.length; i++) {
			for (int j = 0; j < arr[i].size(); j++) {
				System.out.print(1+arr[i].get(j)+" ");
			}
			System.out.println();
		}
		
	}
}