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.BufferedInputStream;
import java.util.Collections.*;
import java.io.BufferedReader;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.Writer;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashMap;
import java.util.InputMismatchException;
import java.util.Iterator;
import java.util.LinkedList;
import java.util.Map;
import java.util.Vector;
import java.util.Map.Entry;
import java.util.Queue;
import java.util.Scanner;
import java.util.TreeMap;
import java.util.TreeSet;
import java.math.*;
import java.util.*;
public class Main {
	public static void main(String[]args) {
		Scanner scanner=new Scanner(new BufferedInputStream(System.in));
		int n=scanner.nextInt();
		int k=scanner.nextInt();
		TreeSet<Integer> now =new TreeSet<Integer>();
		for (int i=1;i<=n*k;i++) now.add(i);
		Vector<Integer> b[]=(Vector<Integer>[])new Vector[k];
		for (int i=0;i<k;i++){
			b[i]=new Vector<Integer>();
			int t=scanner.nextInt();
			b[i].addElement(t);
			now.remove(t);
		}
		for (int i=0;i<k;i++){
			int l=b[i].size();
			for (int j=0;j<n-l;j++){
				b[i].add(now.first());
				now.remove(now.first());
			}
			for (int j=0;j<b[i].size();j++)
				System.out.print(b[i].get(j)+" ");
			System.out.println("");
		}
	}
}