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:
iarr = list(map(int,input().split()))
n = iarr[0]
k = iarr[1]
arr = list(map(int,input().split()))
flagar = [0 for i in range(n*k+1)]
for i in arr:
	flagar[i]=1
#print(arr)
for i in range(k):
	arr[i] = [arr[i]]
#print(arr)
count=1
ind=0
for i in range(1,n*k+1):
	#print(i,flagar[i],count,ind,arr[ind])
	if count<n:
		if flagar[i]==0:
			arr[ind].append(i)
			count+=1
	else:
		count=1
		ind+=1
		if count<n:
			if flagar[i]==0:
				arr[ind].append(i)
				count+=1

#print(flagar)
#print(arr)
for i in range(k):
	for j in arr[i]:
		print(j,end=" ")
	print()