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 PYTHON3):

Solution:

import math
from math import gcd,floor,sqrt,log
def iin(): return int(input())
def sin(): return input().strip()
def listin(): return list(map(int,input().strip().split()))
def liststr(): return list(map(str,input().strip().split()))
def ceill(x): return  int(x) if(x==int(x)) else int(x)+1
def ceilldiv(x,d): return x//d if(x%d==0) else x//d+1
def LCM(a,b): return (a*b)//gcd(a,b)


def solve():
    n,k = listin()
    a = listin()
    z = [i for i in range(1,n*k+1) if i not in a]
    temp = 0
    for j in range(k):
        print(a[j],end = " ")
        for i in range(temp,n+temp-1):
            print(z[i],end = ' ')
        temp += n-1
        print()
            
t = 1 
# t = int(input()) 
for hula in range(t):
	solve()