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 PYTHON3):

Solution:
from sys import stdin, stdout, setrecursionlimit
input = stdin.readline
# import string
# characters = string.ascii_lowercase
# digits = string.digits
# setrecursionlimit(int(1e6))
# dir = [-1,0,1,0,-1]
# moves = 'NESW'
inf = float('inf')
from functools import cmp_to_key
from collections import defaultdict as dd
from collections import Counter, deque
from heapq import *
import math
from math import floor, ceil, sqrt
def geti(): return map(int, input().strip().split())
def getl(): return list(map(int, input().strip().split()))
def getis(): return map(str, input().strip().split())
def getls(): return list(map(str, input().strip().split()))
def gets(): return input().strip()
def geta(): return int(input())
def print_s(s): stdout.write(s+'\n')

def solve():
    n, k, d = geti()
    num = 1
    for i in range(1, d+1):
        num *= k
        if num >= n:
            break
    else:
        print(-1)
        return
    def convert(prev):
        ans = prev[:]
        i = d - 1
        ans[i] += 1
        while ans[i] > k and i > 0:
            ans[i-1] += 1
            ans[i] = 1
            i -= 1
        return ans
    ans = [[1]*d]
    for i in range(1, n+1):
        ans.append(convert(ans[i-1]))
    # print(ans)
    for i in range(d):
        print(*[ans[j][i] for j in range(n)])



# 1 2 1 2 1 2 2
# 2 1 2 1 1 2 2
# 1 2 2 1 1 2 1
#
#
# 2 1 1 1 1 2 1 1
# 1 2 1 1 1 2 2 1
# 1 1 2 1 1 1 2 1
# 1 1 1 2 1 1 1 1
# 1 1 1 1 2 1 1 1


if __name__=='__main__':
    solve()