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.math.BigInteger;
import java.util.*;

public class Solution {
    private IO io;
    private int ioMode = -1;
    private String problemName = "";
    private final String mjArgument = "master_j";

    public static void main(String programArguments[]) throws IOException{
        if(programArguments != null && programArguments.length > 0)
            new Solution().run(programArguments[0]);
        else
            new Solution().run(null);
    }

    private void run(String programArgument) throws IOException {
//         _______________________________________________ _________
//        |   Input Mode     |      Output Mode    | mode | comment |
//        |------------------|---------------------|----- |---------|
//        |   input.txt      |      System.out     |  0   |    mj   |
//        |   System.in      |      System.out     |  1   |  T / CF |
//        |<problemName>.in  |  <problemName>.out  |  2   |         |
//        |   input.txt      |      output.txt     |  3   |    C    |
//        |__________________|_____________________|______|_________|
        long nanoTime = 0;
        if(programArgument != null && programArgument.equals(mjArgument)) // mj
            ioMode = 0;
        else if(System.getProperty("ONLINE_JUDGE") != null) // T / CF
            ioMode = 1;
        else
            ioMode = 2;
        switch(ioMode){
            case -1:
                try{
                    throw new Exception("<ioMode> init failure") ;
                }catch (Exception e){
                    e.printStackTrace();
                }
                return;
            case 0:
                break;
            case 1:
                break;
            case 2:
                if(problemName.length() == 0){
                    try{
                        throw new Exception("<problemName> init failure");
                    }catch (Exception e){
                        e.printStackTrace();
                    }
                    return;
                }
            case 3:
                break;
        }
        io = new IO(ioMode, problemName);
        if(ioMode == 0){
            System.out.println("File output : \n<start>");
            System.out.flush();
            nanoTime = System.nanoTime();
        }
        solve();
        io.flush();
        if(ioMode == 0){
            System.out.println("</start>");
            long t = System.nanoTime() - nanoTime;
            int d3 = 1000000000, d2 = 1000000, d1 = 1000000;
            if(t>=d3)
                System.out.println(t/d3 + "." + t%d3 + " seconds");
            else if(t>=d2)
                System.out.println(t/d2 + "." + t%d2 + " millis");
            else if(t>=d1)
                System.out.println(t/d1 + "." + t%d1 + " millis");
            System.out.flush();
        }
    }

    private void solve() throws IOException {
        HashSet<Integer> set = new HashSet<Integer>();
        int n = io.nI(), k = io.nI(), a[] = new int[k];
        for(int i = 0; i<k; i++)
            set.add(a[i] = io.nI());
        for(int i = 0; i<k; i++){
            io.wf("%d ", a[i]);
            for(int j = 1; j<n; j++){
                for(int t = 1; t<=n*k; t++)
                    if(set.add(t)){
                        io.wf("%d ", t);
                        break;
                    }
            }
            io.wln();
        }

    }//2.2250738585072012e-308

    /**
     * Input-output class
     * @author master_j
     * @version 0.2.4
     */
    @SuppressWarnings("unused")
    private class IO{
        private boolean alwaysFlush;
        StreamTokenizer in; PrintWriter out; BufferedReader br; Reader reader; Writer writer;
        public IO(int ioMode, String problemName) throws IOException{
            Locale.setDefault(Locale.US);
//         _______________________________________________ _________
//        |   Input Mode     |      Output Mode    | mode | comment |
//        |------------------|---------------------|----- |---------|
//        |   input.txt      |      System.out     |  0   |    mj   |
//        |   System.in      |      System.out     |  1   |  T / CF |
//        |<problemName>.in  |  <problemName>.out  |  2   |         |
//        |   input.txt      |      output.txt     |  3   |    C    |
//        |__________________|_____________________|______|_________|
            switch(ioMode){
                case 0:
                    reader = new FileReader("input.txt");
                    writer = new OutputStreamWriter(System.out);
                    break;
                case 1:
                    reader = new InputStreamReader(System.in);
                    writer = new OutputStreamWriter(System.out);
                    break;
                case 2:
                    reader = new FileReader(problemName + ".in");
                    writer = new FileWriter(problemName + ".out");
                    break;
                case 3:
                    reader = new FileReader("input.txt");
                    writer = new FileWriter("output.txt");
                    break;
            }
            br = new BufferedReader(reader);
            in = new StreamTokenizer(br);
            out = new PrintWriter(writer);
            alwaysFlush = false;
        }
        public void setAlwaysFlush(boolean arg){alwaysFlush = arg;}
        public void wln(){out.println(); if(alwaysFlush)flush();}
        public void wln(int arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(long arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(double arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(String arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(boolean arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(char arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(float arg){out.println(arg); if(alwaysFlush)flush();}
        public void wln(Object arg){out.println(arg); if(alwaysFlush)flush();}
        public void w(int arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(long arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(double arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(String arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(boolean arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(char arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(float arg){out.print(arg); if(alwaysFlush)flush();}
        public void w(Object arg){out.print(arg); if(alwaysFlush)flush();}
        public void wf(String format, Object...args){out.printf(format, args); if(alwaysFlush)flush();}
        public void flush(){out.flush();}
        public int nI() throws IOException {in.nextToken(); return(int)in.nval;}
        public long nL() throws IOException {in.nextToken(); return(long)in.nval;}
        public String nS() throws IOException {in.nextToken(); return in.sval;}
        public double nD() throws IOException {in.nextToken(); return in.nval;}
        public float nF() throws IOException {in.nextToken(); return (float)in.nval;}
        public char nC() throws IOException {return (char)br.read();}
        public void wc(char...arg){for(char c : arg){in.ordinaryChar(c);in.wordChars(c, c);}}
        public void wc(String arg){wc(arg.toCharArray());}
        public void wc(char arg0, char arg1){in.ordinaryChars(arg0, arg1); in.wordChars(arg0, arg1);}
        public boolean eof(){return in.ttype == StreamTokenizer.TT_EOF;}
        public boolean eol(){return in.ttype == StreamTokenizer.TT_EOL;}
    }
}