Problem: Recently Pashmak has been employed in a transportation company. The company has k buses and has a contract with a school which has n students. The school planned to take the students to d different places for d days (each day in one place). Each day the company provides all the buses for the trip. Pashmak has to arrange the students in the buses. He wants to arrange the students in a way that no two students become close friends. In his ridiculous idea, two students will become close friends if and only if they are in the same buses for all d days.

Please help Pashmak with his weird idea. Assume that each bus has an unlimited capacity.

Input

The first line of input contains three space-separated integers n, k, d (1 ≤ n, d ≤ 1000; 1 ≤ k ≤ 109).

Output

If there is no valid arrangement just print -1. Otherwise print d lines, in each of them print n integers. The j-th integer of the i-th line shows which bus the j-th student has to take on the i-th day. You can assume that the buses are numbered from 1 to k.

Examples

Input

3 2 2


Output

1 1 2 
1 2 1 


Input

3 2 1


Output

-1

Note

Note that two students become close friends only if they share a bus each day. But the bus they share can differ from day to day.

Solution (in JAVA):

Solution:


/* Shubhang Verma */
import java.io.*;
import java.math.*;
import java.util.*;
public class Main {

    public static void main(String[] args) 
    {	
        InputStream inputstream = System.in;
        OutputStream outputstream = System.out;
        InputReader in = new InputReader(inputstream);
        OutputWriter out = new OutputWriter(outputstream);
        mysolver mysol = new mysolver();
        mysol.solve(in, out);
        out.close();
    }

}
class node implements Comparable<node>{
	int count;
	long value;
	public int compareTo(node t)
	{
		if(this.value == t.value)
			return 0;
		else if(this.value < t.value)
			return -1;
		else
			return 1;
	}
}
class mysolver {
	public long mod = 1000000007;
    public void solve(InputReader in,OutputWriter out)
    {
    	PrintWriter pout = new PrintWriter(new BufferedOutputStream(System.out));	
    	int n = in.readInt();
    	int k = in.readInt();
    	int d = in.readInt();
    	
    	int dp[][] = new int[n][d];
    	int A[] = new int[d];
    	fill(dp,d,k,n,A,0);
    	if(count < n)
    	{
    		pout.println("-1");
    	}
    	else
    	{
    		for(int j=0;j<d;j++)
    		{
    			for(int i=0;i<n;i++)
    			{
    				pout.print(dp[i][j]+" ");
    			}
    			pout.println();
    		}
    	}
        pout.close();
    }
    int count = 0;
   public void fill(int dp[][], int d, int k,int n,int[] A,int idx)
   {
	   if(count == n)
		   return;
	   if(idx == d)
	   {

		   for(int i=0;i<d;i++)
			   dp[count][i] = A[i];
		   count++;
	   }
	   else
	   {
		   for(int i=1;i<=k;i++)
		   {
			   if(count == n)
				   return;
			   A[idx] = i;
			   fill(dp,d,k,n,A,idx+1);
		   }
	   }
   }
    public boolean findpower(int k,int d)
    {
    	long ans = 1;
    	long val = k;
    	int D = d;
    	while(D!=0)
    	{
    		if(D%2==1)
    		{
    			ans = ans*val;
    		}
    		if(ans >= d)
    			return true;
    		val = val*k;
    		D = D/2;
    	}
    	return false;
    }
     
}
class InputReader {
    private InputStream stream;
    private byte[] buf = new byte[1024];
    private int curChar;
    private int numChars;
    private SpaceCharFilter filter;
 
    public InputReader(InputStream stream) {
        this.stream = stream;
    }
    
    public int read() {
        if (numChars == -1)
            throw new InputMismatchException();
        if (curChar >= numChars) {
            curChar = 0;
            try {
                numChars = stream.read(buf);
            } catch (IOException e) {
                throw new InputMismatchException();
            }
            if (numChars <= 0)
                return -1;
        }
        return buf[curChar++];
    }
 
    public int readInt() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        int res = 0;
        do {
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res *= 10;
            res += c - '0';
            c = read();
        } while (!isSpaceChar(c));
        return res * sgn;
    }
 
    public String readString() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        StringBuilder res = new StringBuilder();
        do {
            res.appendCodePoint(c);
            c = read();
        } while (!isSpaceChar(c));
        return res.toString();
    }
 
    public boolean isSpaceChar(int c) {
        if (filter != null)
            return filter.isSpaceChar(c);
        return isWhitespace(c);
    }
 
    public static boolean isWhitespace(int c) {
        return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    }
 
    public String next() {
        return readString();
    }
 
    public interface SpaceCharFilter {
        public boolean isSpaceChar(int ch);
    }
}
 
class OutputWriter {
    private final PrintWriter writer;
 
    public OutputWriter(OutputStream outputStream) {
        writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
    }
 
    public OutputWriter(Writer writer) {
        this.writer = new PrintWriter(writer);
    }
 
    public void close() {
        writer.close();
    }
 
    public void printLine(int i) {
        writer.println(i);
    }
}
 
class IOUtils {
 
    public static void readIntArrays(InputReader in, int[]... arrays) {
        for (int i = 0; i < arrays[0].length; i++) {
            for (int j = 0; j < arrays.length; j++)
                arrays[j][i] = in.readInt();
        }
    }
 
    }