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.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class DividingOrange {
	public static void main(String[] args) {
		PrintWriter pw = new PrintWriter(System.out);
	    reader(System.in);
	    int n = nI();
	    int k = nI();
	    int[] arr = new int[901];
	    int[] part = new int[k];
	    for (int i = 0; i < k; i++) {
	    	int t = nI();
	    	arr[t]++;
	    	part[i] = t;
	    }
	    for (int i = 0; i < k; i++) {
	    	pw.print(part[i] + " ");
	    	int c = n - 1;
	    	for (int j = 1; j <= n * k && c > 0; j++) {
	    		if (arr[j] == 0) {
	    			pw.print(j + " ");
	    			arr[j] = 1;
	    			c--;
	    		}
	    	}
	    	pw.println();
	    }
	    pw.close();
	}
	
	private static BufferedReader br;
	private static StringTokenizer st;

	static void reader(InputStream stream) {
	    try {
	        br = new BufferedReader(new InputStreamReader(stream));
	    } catch (Exception e) {
	        e.printStackTrace();
	    }
	}

	static String n() {
	    while (st == null || !st.hasMoreTokens()) {
	        try {
	            st = new StringTokenizer(br.readLine());
	        } catch (IOException e) {
	            e.printStackTrace();
	        }
	    }
	    return st.nextToken();
	}

	static int nI() {
	    return Integer.parseInt(n());
	}
	
	static long nL() {
	    return Long.parseLong(n());
	}
}