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:
n, k = raw_input().split()
n = int(n)
k = int(k)
a = raw_input().split()
for i in xrange(0, k):
	 a[i] = int(a[i])
	 
t = n * k
d = {}
booked = {}

for i in xrange(1, t+1):
	booked[i] = False
for i in xrange(1, k+1):
	d[i]  = [a[i - 1]]
	booked[a[i - 1]] = True
j = 1
for i in xrange(1, k+1):
	c = 0
	while (c < n - 1):
		if not (booked[j]):
			d[i].append(j)
			c += 1
		j += 1
for i in xrange(1, k+1):
	res = ""
	for x in d[i]:
		res += str(x) + " "
	print res