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:
import java.io.InputStreamReader;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.InputStream;
import java.util.Arrays;
import java.util.ArrayList;
import java.util.LinkedList;
import java.util.TreeMap;
import java.util.TreeSet;
import java.util.Collections;
import java.util.HashSet;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class MainC {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		PrintWriter out = new PrintWriter(outputStream);
		TaskC solver = new TaskC();
		solver.solve(1, in, out);
		out.close();
	}
}

class TaskC {
    public void increment(int[] permute, int k) {
        for (int i = permute.length - 1; i >= 0; --i) {
            if (permute[i] != k) {
                permute[i]++;
                for (int j = i + 1; j < permute.length; ++j) {
                    permute[j] = 1;
                }
                return;
            }
        }
    }

	public void solve(int testNumber, InputReader in, PrintWriter out) {
        int n = in.nextInt(); // students
        int k = in.nextInt(); // num buses
        int d = in.nextInt(); // days

        // If two students are friends, it means they rode the same
        // bus every day of the trip

        // How many possible ways for a student to choose to ride the
        // bus for d days?
        // How many d-length permutations of numbers 1 - k?
        // If it is fewer than the number of students, it is impossible
        int total = 1;
        boolean isValid = false;
        for (int i = 0; i < d; ++i) {
            total *= k;
            if (total >= n) {
                isValid = true;
                break;
            }
        }
        if (!isValid) {
            out.write("-1\n");
            return;
        }

        // the length is d because we need to know which bus is being
        // ridden each of the d days
        int[] permute = new int[d];
        for (int i = 0; i < d; ++i) permute[i] = 1;

        int[][] ans = new int[d][n];

        for (int i = 0; i < n; ++i) {
            for (int j = 0; j < d; ++j) {
                ans[j][i] = permute[j];
            }
            increment(permute, k);
        }

        for (int i = 0; i < d; ++i) {
            for (int j = 0; j < n; ++j) {
                out.write(ans[i][j] + " ");
            }
            out.write("\n");
        }
    }

}

class InputReader {
    public BufferedReader reader;
    public StringTokenizer tokenizer;

    public InputReader(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream), 32768);
        tokenizer = null;
    }

    public String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

    public int nextInt() {
        return Integer.parseInt(next());
    }
    public long nextLong() {
        return Long.parseLong(next());
    }

}