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 PYTHON):

Solution:


def main():
	o = raw_input()
	s = o.split()
	n = int(s[0])
	k = int(s[1])
	lis = []
        li =[]
	l =[]
	l2 =[]
	count = 1
	zz = raw_input()
	lis = zz.split()
        for d in range(len(lis)):
		lis[d] = int(lis[d])
	for u in range(1,n*k+1):
		li.append(u)
	for c in range(k):
		l.append(lis[c])
		for j in li:
			if((j not in lis) and count<n and (j not in l2)):
				l.append(j)
                                l2.append(j)				
				count+=1
		for q in range(len(l)):
			print l[q]
		count = 1
                l = []		


if __name__=="__main__":
	main()