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.*;
import java.util.*;


public class E {
	private static BufferedReader reader;  
	private static PrintWriter writer;
	private static StringTokenizer tokenizer;

	private static void println() {
		writer.println();
	}
	private void print(Object obj) {
		writer.print(obj);
	}
	
	private static void println(Object obj) {
		writer.println(obj);
	}
	
	private static void printf(String f, Object... obj) {
		writer.printf(f, obj);
	}

	private static int nextInt() throws IOException {
		return Integer.parseInt(nextToken());
	}

	private long nextLong() throws IOException {
		return Long.parseLong(nextToken());
	}

	private double nextDouble() throws IOException {
		return Double.parseDouble(nextToken());
	}

	private static String nextToken() throws IOException {
		while (tokenizer == null || !tokenizer.hasMoreTokens()) {
			tokenizer = new StringTokenizer(reader.readLine());
		}
		return tokenizer.nextToken();
	}
	public static void main(String[] args) throws IOException{
		begin();
		int n = nextInt();
		int k = nextInt();
		int []a = new int [k+4];
		boolean  []d = new boolean [9000];
		
		for (int i = 1; i <= k; i++) {
			int r = nextInt();
			a[i] = r;
			d[r] = true;
		}
		for (int i = 1; i <=k; i++) {
			writer.print(a[i]+" ");
			int cnt = 0;
			for (int j = 1; j <=n*k; j++) {
				if (!d[j]){
					cnt++;
					d[j] = true;
					writer.print(j+" ");
				}
				if (cnt == n-1) break;
			}
			println();
		}		
		end();
	}
	private static void end() {
		writer.close();
	}
	private static void begin() throws IOException{
		reader = new BufferedReader(new InputStreamReader(System.in));
		writer = new PrintWriter(new OutputStreamWriter(System.out));
	}

}