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:
/*
 * To change this template, choose Tools | Templates
 * and open the template in the editor.
 */

/**
 *cf244a_DividingOrange
 * @author zulkan
 */
import java.util.StringTokenizer;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import static java.lang.System.*;
import java.math.BigInteger;
import java.util.List;
import java.util.ArrayList;
import java.util.Scanner;
import java.util.Arrays;
import java.util.HashMap;
import java.util.HashSet;

public class cf244a_DividingOrange {

    static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    static Scanner sc = new Scanner(System.in);

    public static String getString() {
        try {
            return br.readLine();
        } catch (Exception e) {
        }
        return "";
    }

    public static Integer getInt() {
        try {
            return Integer.parseInt(br.readLine());
        } catch (Exception e) {
        }
        return 0;
    }

    public static Integer[] getIntArr() {
        try {
            StringTokenizer temp = new StringTokenizer(br.readLine());
            int n = temp.countTokens();
            Integer temp2[] = new Integer[n];
            for (int i = 0; i < n; i++) {
                temp2[i] = Integer.parseInt(temp.nextToken());
            }
            return temp2;
        } catch (Exception e) {
        }
        return null;
    }

    public static int getMax(Integer[] ar) {
        int t = ar[0];
        for (int i = 0; i < ar.length; i++) {
            if (ar[i] > t) {
                t = ar[i];
            }
        }
        return t;
    }

    public static void print(Object a) {
        out.println(a);
    }

    public static int nextInt() {
        return sc.nextInt();
    }

    public static double nextDouble() {
        return sc.nextDouble();
    }

    public static BigInteger getFact(long in) {
        BigInteger ot = new BigInteger("1");
        for (Integer i = 1; i <= in; i++) {
            ot = ot.multiply(new BigInteger(i.toString()));
        }
        return ot;
    }

    public static String gbase(int a, int base) {
        StringBuilder out = new StringBuilder();
        int temp = a;
        while (temp > 0) {
            //out = temp % base + out;
            out.insert(0, temp % base);
            temp /= base;
        }
        return out.toString();
    }

    public static void main(String[] ar) {
        Integer in1[] = getIntArr();
        Integer in2[] = getIntArr();

        HashSet<Integer> check = new HashSet<Integer>(Arrays.asList(in2));
        //check.addAll(Arrays.);
        int n = in1[0];
        int k = in1[1];

        int start = 1;
        for (Integer i = 0; i < k; i++) {
            StringBuilder out = new StringBuilder();
            out.append(in2[i]);
            for (int j = 1; j < n; j++) {
                out.append(" ");
                if (!check.contains(start)) {
                    out.append(start);
                    start++;
                } else {
                    while(check.contains(start)){
                        start++;
                    }
                    out.append(start);
                    start++;
                }
            }
            print(out);

        }
    }
}